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Finding the Third Proportional to 29,601 and 45,282

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Solution

The third proportional to 29,601 and 45,282 is: 69,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 45,282 = 45,282 : x
  2. Step 2: Convert to fraction form
    29,601/45,282 = 45,282/x
  3. Step 3: Cross multiply
    29,601x = 45,282 × 45,282
  4. Step 4: Simplify right side
    29,601x = 2,050,459,524
  5. Step 5: Solve for x
    x = 2,050,459,524/29,601
  6. Step 6: Final answer
    x = 69,269.94

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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.