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Finding the Third Proportional to 15,889 and 24,261

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Solution

The third proportional to 15,889 and 24,261 is: 37,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889 : 24,261 = 24,261 : x
  2. Step 2: Convert to fraction form
    15,889/24,261 = 24,261/x
  3. Step 3: Cross multiply
    15,889x = 24,261 × 24,261
  4. Step 4: Simplify right side
    15,889x = 588,596,121
  5. Step 5: Solve for x
    x = 588,596,121/15,889
  6. Step 6: Final answer
    x = 37,044.25

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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.