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Finding the Third Proportional to 36,220.31 and 55,406.63

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Solution

The third proportional to 36,220.31 and 55,406.63 is: 84,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220.31 : 55,406.63 = 55,406.63 : x
  2. Step 2: Convert to fraction form
    36,220.31/55,406.63 = 55,406.63/x
  3. Step 3: Cross multiply
    36,220.31x = 55,406.63 × 55,406.63
  4. Step 4: Simplify right side
    36,220.31x = 3,069,894,093.89
  5. Step 5: Solve for x
    x = 3,069,894,093.89/36,220.31
  6. Step 6: Final answer
    x = 84,756.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.