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Finding the Third Proportional to 15,840 and 24,524

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Solution

The third proportional to 15,840 and 24,524 is: 37,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 24,524 = 24,524 : x
  2. Step 2: Convert to fraction form
    15,840/24,524 = 24,524/x
  3. Step 3: Cross multiply
    15,840x = 24,524 × 24,524
  4. Step 4: Simplify right side
    15,840x = 601,426,576
  5. Step 5: Solve for x
    x = 601,426,576/15,840
  6. Step 6: Final answer
    x = 37,968.85

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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.