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Finding the Third Proportional to 40,999 and 61,785

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Solution

The third proportional to 40,999 and 61,785 is: 93,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,999 : 61,785 = 61,785 : x
  2. Step 2: Convert to fraction form
    40,999/61,785 = 61,785/x
  3. Step 3: Cross multiply
    40,999x = 61,785 × 61,785
  4. Step 4: Simplify right side
    40,999x = 3,817,386,225
  5. Step 5: Solve for x
    x = 3,817,386,225/40,999
  6. Step 6: Final answer
    x = 93,109.25

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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.