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Finding the Third Proportional to 15,680 and 24,289

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Solution

The third proportional to 15,680 and 24,289 is: 37,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680 : 24,289 = 24,289 : x
  2. Step 2: Convert to fraction form
    15,680/24,289 = 24,289/x
  3. Step 3: Cross multiply
    15,680x = 24,289 × 24,289
  4. Step 4: Simplify right side
    15,680x = 589,955,521
  5. Step 5: Solve for x
    x = 589,955,521/15,680
  6. Step 6: Final answer
    x = 37,624.71

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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.