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Finding the Third Proportional to 17,971.88 and 48,772.13

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Solution

The third proportional to 17,971.88 and 48,772.13 is: 132,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.88 : 48,772.13 = 48,772.13 : x
  2. Step 2: Convert to fraction form
    17,971.88/48,772.13 = 48,772.13/x
  3. Step 3: Cross multiply
    17,971.88x = 48,772.13 × 48,772.13
  4. Step 4: Simplify right side
    17,971.88x = 2,378,720,177.02
  5. Step 5: Solve for x
    x = 2,378,720,177.02/17,971.88
  6. Step 6: Final answer
    x = 132,357.93

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.