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Finding the Third Proportional to 15,705 and 24,246

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Solution

The third proportional to 15,705 and 24,246 is: 37,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 24,246 = 24,246 : x
  2. Step 2: Convert to fraction form
    15,705/24,246 = 24,246/x
  3. Step 3: Cross multiply
    15,705x = 24,246 × 24,246
  4. Step 4: Simplify right side
    15,705x = 587,868,516
  5. Step 5: Solve for x
    x = 587,868,516/15,705
  6. Step 6: Final answer
    x = 37,431.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.