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Finding the Third Proportional to 40,412 and 62,670

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Solution

The third proportional to 40,412 and 62,670 is: 97,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,412 : 62,670 = 62,670 : x
  2. Step 2: Convert to fraction form
    40,412/62,670 = 62,670/x
  3. Step 3: Cross multiply
    40,412x = 62,670 × 62,670
  4. Step 4: Simplify right side
    40,412x = 3,927,528,900
  5. Step 5: Solve for x
    x = 3,927,528,900/40,412
  6. Step 6: Final answer
    x = 97,187.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.