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Finding the Third Proportional to 29,367 and 45,507

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Solution

The third proportional to 29,367 and 45,507 is: 70,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,367 : 45,507 = 45,507 : x
  2. Step 2: Convert to fraction form
    29,367/45,507 = 45,507/x
  3. Step 3: Cross multiply
    29,367x = 45,507 × 45,507
  4. Step 4: Simplify right side
    29,367x = 2,070,887,049
  5. Step 5: Solve for x
    x = 2,070,887,049/29,367
  6. Step 6: Final answer
    x = 70,517.49

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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.