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Finding the Third Proportional to 29,538 and 45,237

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Solution

The third proportional to 29,538 and 45,237 is: 69,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 45,237 = 45,237 : x
  2. Step 2: Convert to fraction form
    29,538/45,237 = 45,237/x
  3. Step 3: Cross multiply
    29,538x = 45,237 × 45,237
  4. Step 4: Simplify right side
    29,538x = 2,046,386,169
  5. Step 5: Solve for x
    x = 2,046,386,169/29,538
  6. Step 6: Final answer
    x = 69,279.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.