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Finding the Third Proportional to 29,650 and 45,898

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Solution

The third proportional to 29,650 and 45,898 is: 71,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650 : 45,898 = 45,898 : x
  2. Step 2: Convert to fraction form
    29,650/45,898 = 45,898/x
  3. Step 3: Cross multiply
    29,650x = 45,898 × 45,898
  4. Step 4: Simplify right side
    29,650x = 2,106,626,404
  5. Step 5: Solve for x
    x = 2,106,626,404/29,650
  6. Step 6: Final answer
    x = 71,049.79

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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.