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Finding the Third Proportional to 15,984 and 24,532

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Solution

The third proportional to 15,984 and 24,532 is: 37,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 24,532 = 24,532 : x
  2. Step 2: Convert to fraction form
    15,984/24,532 = 24,532/x
  3. Step 3: Cross multiply
    15,984x = 24,532 × 24,532
  4. Step 4: Simplify right side
    15,984x = 601,819,024
  5. Step 5: Solve for x
    x = 601,819,024/15,984
  6. Step 6: Final answer
    x = 37,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.