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Finding the Third Proportional to 29,208 and 45,758

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Solution

The third proportional to 29,208 and 45,758 is: 71,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,208 : 45,758 = 45,758 : x
  2. Step 2: Convert to fraction form
    29,208/45,758 = 45,758/x
  3. Step 3: Cross multiply
    29,208x = 45,758 × 45,758
  4. Step 4: Simplify right side
    29,208x = 2,093,794,564
  5. Step 5: Solve for x
    x = 2,093,794,564/29,208
  6. Step 6: Final answer
    x = 71,685.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.