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Finding the Third Proportional to 15,730 and 24,141

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Solution

The third proportional to 15,730 and 24,141 is: 37,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 24,141 = 24,141 : x
  2. Step 2: Convert to fraction form
    15,730/24,141 = 24,141/x
  3. Step 3: Cross multiply
    15,730x = 24,141 × 24,141
  4. Step 4: Simplify right side
    15,730x = 582,787,881
  5. Step 5: Solve for x
    x = 582,787,881/15,730
  6. Step 6: Final answer
    x = 37,049.45

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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.