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Finding the Third Proportional to 29,195 and 42,757

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Solution

The third proportional to 29,195 and 42,757 is: 62,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,195 : 42,757 = 42,757 : x
  2. Step 2: Convert to fraction form
    29,195/42,757 = 42,757/x
  3. Step 3: Cross multiply
    29,195x = 42,757 × 42,757
  4. Step 4: Simplify right side
    29,195x = 1,828,161,049
  5. Step 5: Solve for x
    x = 1,828,161,049/29,195
  6. Step 6: Final answer
    x = 62,618.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.