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Finding the Third Proportional to 29,549 and 45,007

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Solution

The third proportional to 29,549 and 45,007 is: 68,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 45,007 = 45,007 : x
  2. Step 2: Convert to fraction form
    29,549/45,007 = 45,007/x
  3. Step 3: Cross multiply
    29,549x = 45,007 × 45,007
  4. Step 4: Simplify right side
    29,549x = 2,025,630,049
  5. Step 5: Solve for x
    x = 2,025,630,049/29,549
  6. Step 6: Final answer
    x = 68,551.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.