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Finding the Third Proportional to 36,315 and 55,015.50

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Solution

The third proportional to 36,315 and 55,015.50 is: 83,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,315 : 55,015.50 = 55,015.50 : x
  2. Step 2: Convert to fraction form
    36,315/55,015.50 = 55,015.50/x
  3. Step 3: Cross multiply
    36,315x = 55,015.50 × 55,015.50
  4. Step 4: Simplify right side
    36,315x = 3,026,705,240.25
  5. Step 5: Solve for x
    x = 3,026,705,240.25/36,315
  6. Step 6: Final answer
    x = 83,345.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.