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Finding the Third Proportional to 29,982.75 and 44,731.13

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Solution

The third proportional to 29,982.75 and 44,731.13 is: 66,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.75 : 44,731.13 = 44,731.13 : x
  2. Step 2: Convert to fraction form
    29,982.75/44,731.13 = 44,731.13/x
  3. Step 3: Cross multiply
    29,982.75x = 44,731.13 × 44,731.13
  4. Step 4: Simplify right side
    29,982.75x = 2,000,873,543.77
  5. Step 5: Solve for x
    x = 2,000,873,543.77/29,982.75
  6. Step 6: Final answer
    x = 66,734.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.