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Finding the Third Proportional to 10,261 and 15,703

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Solution

The third proportional to 10,261 and 15,703 is: 24,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261 : 15,703 = 15,703 : x
  2. Step 2: Convert to fraction form
    10,261/15,703 = 15,703/x
  3. Step 3: Cross multiply
    10,261x = 15,703 × 15,703
  4. Step 4: Simplify right side
    10,261x = 246,584,209
  5. Step 5: Solve for x
    x = 246,584,209/10,261
  6. Step 6: Final answer
    x = 24,031.21

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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.