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Finding the Third Proportional to 39,648 and 61,464

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Solution

The third proportional to 39,648 and 61,464 is: 95,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 61,464 = 61,464 : x
  2. Step 2: Convert to fraction form
    39,648/61,464 = 61,464/x
  3. Step 3: Cross multiply
    39,648x = 61,464 × 61,464
  4. Step 4: Simplify right side
    39,648x = 3,777,823,296
  5. Step 5: Solve for x
    x = 3,777,823,296/39,648
  6. Step 6: Final answer
    x = 95,284.08

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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.