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Finding the Third Proportional to 24,690 and 39,765

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Solution

The third proportional to 24,690 and 39,765 is: 64,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690 : 39,765 = 39,765 : x
  2. Step 2: Convert to fraction form
    24,690/39,765 = 39,765/x
  3. Step 3: Cross multiply
    24,690x = 39,765 × 39,765
  4. Step 4: Simplify right side
    24,690x = 1,581,255,225
  5. Step 5: Solve for x
    x = 1,581,255,225/24,690
  6. Step 6: Final answer
    x = 64,044.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.