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Finding the Third Proportional to 42,687 and 64,044

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Solution

The third proportional to 42,687 and 64,044 is: 96,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687 : 64,044 = 64,044 : x
  2. Step 2: Convert to fraction form
    42,687/64,044 = 64,044/x
  3. Step 3: Cross multiply
    42,687x = 64,044 × 64,044
  4. Step 4: Simplify right side
    42,687x = 4,101,633,936
  5. Step 5: Solve for x
    x = 4,101,633,936/42,687
  6. Step 6: Final answer
    x = 96,086.25

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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.