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Finding the Third Proportional to 27,642.52 and 59,228.72

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Solution

The third proportional to 27,642.52 and 59,228.72 is: 126,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.52 : 59,228.72 = 59,228.72 : x
  2. Step 2: Convert to fraction form
    27,642.52/59,228.72 = 59,228.72/x
  3. Step 3: Cross multiply
    27,642.52x = 59,228.72 × 59,228.72
  4. Step 4: Simplify right side
    27,642.52x = 3,508,041,124.77
  5. Step 5: Solve for x
    x = 3,508,041,124.77/27,642.52
  6. Step 6: Final answer
    x = 126,907.45

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