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Finding the Third Proportional to 29,884 and 45,068

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Solution

The third proportional to 29,884 and 45,068 is: 67,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884 : 45,068 = 45,068 : x
  2. Step 2: Convert to fraction form
    29,884/45,068 = 45,068/x
  3. Step 3: Cross multiply
    29,884x = 45,068 × 45,068
  4. Step 4: Simplify right side
    29,884x = 2,031,124,624
  5. Step 5: Solve for x
    x = 2,031,124,624/29,884
  6. Step 6: Final answer
    x = 67,966.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.