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Finding the Third Proportional to 27,634.25 and 59,211.63

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Solution

The third proportional to 27,634.25 and 59,211.63 is: 126,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.25 : 59,211.63 = 59,211.63 : x
  2. Step 2: Convert to fraction form
    27,634.25/59,211.63 = 59,211.63/x
  3. Step 3: Cross multiply
    27,634.25x = 59,211.63 × 59,211.63
  4. Step 4: Simplify right side
    27,634.25x = 3,506,016,535.14
  5. Step 5: Solve for x
    x = 3,506,016,535.14/27,634.25
  6. Step 6: Final answer
    x = 126,872.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.