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Finding the Third Proportional to 15,776 and 24,692

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Solution

The third proportional to 15,776 and 24,692 is: 38,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 24,692 = 24,692 : x
  2. Step 2: Convert to fraction form
    15,776/24,692 = 24,692/x
  3. Step 3: Cross multiply
    15,776x = 24,692 × 24,692
  4. Step 4: Simplify right side
    15,776x = 609,694,864
  5. Step 5: Solve for x
    x = 609,694,864/15,776
  6. Step 6: Final answer
    x = 38,646.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.