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Finding the Third Proportional to 29,624 and 45,524

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Solution

The third proportional to 29,624 and 45,524 is: 69,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,624 : 45,524 = 45,524 : x
  2. Step 2: Convert to fraction form
    29,624/45,524 = 45,524/x
  3. Step 3: Cross multiply
    29,624x = 45,524 × 45,524
  4. Step 4: Simplify right side
    29,624x = 2,072,434,576
  5. Step 5: Solve for x
    x = 2,072,434,576/29,624
  6. Step 6: Final answer
    x = 69,957.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.