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Finding the Third Proportional to 29,627 and 45,540

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Solution

The third proportional to 29,627 and 45,540 is: 70,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,627 : 45,540 = 45,540 : x
  2. Step 2: Convert to fraction form
    29,627/45,540 = 45,540/x
  3. Step 3: Cross multiply
    29,627x = 45,540 × 45,540
  4. Step 4: Simplify right side
    29,627x = 2,073,891,600
  5. Step 5: Solve for x
    x = 2,073,891,600/29,627
  6. Step 6: Final answer
    x = 70,000.05

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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.