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Finding the Third Proportional to 10,282 and 15,907

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Solution

The third proportional to 10,282 and 15,907 is: 24,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282 : 15,907 = 15,907 : x
  2. Step 2: Convert to fraction form
    10,282/15,907 = 15,907/x
  3. Step 3: Cross multiply
    10,282x = 15,907 × 15,907
  4. Step 4: Simplify right side
    10,282x = 253,032,649
  5. Step 5: Solve for x
    x = 253,032,649/10,282
  6. Step 6: Final answer
    x = 24,609.28

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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.