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Finding the Third Proportional to 10,297 and 15,059

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Solution

The third proportional to 10,297 and 15,059 is: 22,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297 : 15,059 = 15,059 : x
  2. Step 2: Convert to fraction form
    10,297/15,059 = 15,059/x
  3. Step 3: Cross multiply
    10,297x = 15,059 × 15,059
  4. Step 4: Simplify right side
    10,297x = 226,773,481
  5. Step 5: Solve for x
    x = 226,773,481/10,297
  6. Step 6: Final answer
    x = 22,023.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.