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Finding the Third Proportional to 27,070.88 and 58,141.13

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Solution

The third proportional to 27,070.88 and 58,141.13 is: 124,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.88 : 58,141.13 = 58,141.13 : x
  2. Step 2: Convert to fraction form
    27,070.88/58,141.13 = 58,141.13/x
  3. Step 3: Cross multiply
    27,070.88x = 58,141.13 × 58,141.13
  4. Step 4: Simplify right side
    27,070.88x = 3,380,390,416.27
  5. Step 5: Solve for x
    x = 3,380,390,416.27/27,070.88
  6. Step 6: Final answer
    x = 124,871.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.