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Finding the Third Proportional to 40,806 and 85,708

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Solution

The third proportional to 40,806 and 85,708 is: 180,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,806 : 85,708 = 85,708 : x
  2. Step 2: Convert to fraction form
    40,806/85,708 = 85,708/x
  3. Step 3: Cross multiply
    40,806x = 85,708 × 85,708
  4. Step 4: Simplify right side
    40,806x = 7,345,861,264
  5. Step 5: Solve for x
    x = 7,345,861,264/40,806
  6. Step 6: Final answer
    x = 180,019.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.