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Finding the Third Proportional to 42,465 and 63,687

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Solution

The third proportional to 42,465 and 63,687 is: 95,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,465 : 63,687 = 63,687 : x
  2. Step 2: Convert to fraction form
    42,465/63,687 = 63,687/x
  3. Step 3: Cross multiply
    42,465x = 63,687 × 63,687
  4. Step 4: Simplify right side
    42,465x = 4,056,033,969
  5. Step 5: Solve for x
    x = 4,056,033,969/42,465
  6. Step 6: Final answer
    x = 95,514.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.