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Finding the Third Proportional to 15,486 and 24,861

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Solution

The third proportional to 15,486 and 24,861 is: 39,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486 : 24,861 = 24,861 : x
  2. Step 2: Convert to fraction form
    15,486/24,861 = 24,861/x
  3. Step 3: Cross multiply
    15,486x = 24,861 × 24,861
  4. Step 4: Simplify right side
    15,486x = 618,069,321
  5. Step 5: Solve for x
    x = 618,069,321/15,486
  6. Step 6: Final answer
    x = 39,911.49

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1.5x scale

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.