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Finding the Third Proportional to 39,534 and 84,718.50

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Solution

The third proportional to 39,534 and 84,718.50 is: 181,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,534 : 84,718.50 = 84,718.50 : x
  2. Step 2: Convert to fraction form
    39,534/84,718.50 = 84,718.50/x
  3. Step 3: Cross multiply
    39,534x = 84,718.50 × 84,718.50
  4. Step 4: Simplify right side
    39,534x = 7,177,224,242.25
  5. Step 5: Solve for x
    x = 7,177,224,242.25/39,534
  6. Step 6: Final answer
    x = 181,545.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.