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Finding the Third Proportional to 39,457 and 55,499

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Solution

The third proportional to 39,457 and 55,499 is: 78,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457 : 55,499 = 55,499 : x
  2. Step 2: Convert to fraction form
    39,457/55,499 = 55,499/x
  3. Step 3: Cross multiply
    39,457x = 55,499 × 55,499
  4. Step 4: Simplify right side
    39,457x = 3,080,139,001
  5. Step 5: Solve for x
    x = 3,080,139,001/39,457
  6. Step 6: Final answer
    x = 78,063.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.