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Finding the Third Proportional to 29,275 and 45,287

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Solution

The third proportional to 29,275 and 45,287 is: 70,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,275 : 45,287 = 45,287 : x
  2. Step 2: Convert to fraction form
    29,275/45,287 = 45,287/x
  3. Step 3: Cross multiply
    29,275x = 45,287 × 45,287
  4. Step 4: Simplify right side
    29,275x = 2,050,912,369
  5. Step 5: Solve for x
    x = 2,050,912,369/29,275
  6. Step 6: Final answer
    x = 70,056.78

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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.