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Finding the Third Proportional to 27,672.57 and 59,283.46

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Solution

The third proportional to 27,672.57 and 59,283.46 is: 127,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.57 : 59,283.46 = 59,283.46 : x
  2. Step 2: Convert to fraction form
    27,672.57/59,283.46 = 59,283.46/x
  3. Step 3: Cross multiply
    27,672.57x = 59,283.46 × 59,283.46
  4. Step 4: Simplify right side
    27,672.57x = 3,514,528,277.58
  5. Step 5: Solve for x
    x = 3,514,528,277.58/27,672.57
  6. Step 6: Final answer
    x = 127,004.02

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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.