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Finding the Third Proportional to 13,437 and 29,519

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Solution

The third proportional to 13,437 and 29,519 is: 64,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437 : 29,519 = 29,519 : x
  2. Step 2: Convert to fraction form
    13,437/29,519 = 29,519/x
  3. Step 3: Cross multiply
    13,437x = 29,519 × 29,519
  4. Step 4: Simplify right side
    13,437x = 871,371,361
  5. Step 5: Solve for x
    x = 871,371,361/13,437
  6. Step 6: Final answer
    x = 64,848.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.