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Finding the Third Proportional to 36,868.50 and 55,347.75

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Solution

The third proportional to 36,868.50 and 55,347.75 is: 83,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868.50 : 55,347.75 = 55,347.75 : x
  2. Step 2: Convert to fraction form
    36,868.50/55,347.75 = 55,347.75/x
  3. Step 3: Cross multiply
    36,868.50x = 55,347.75 × 55,347.75
  4. Step 4: Simplify right side
    36,868.50x = 3,063,373,430.06
  5. Step 5: Solve for x
    x = 3,063,373,430.06/36,868.50
  6. Step 6: Final answer
    x = 83,089.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.