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Finding the Third Proportional to 34,129.41 and 53,422.17

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Solution

The third proportional to 34,129.41 and 53,422.17 is: 83,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.41 : 53,422.17 = 53,422.17 : x
  2. Step 2: Convert to fraction form
    34,129.41/53,422.17 = 53,422.17/x
  3. Step 3: Cross multiply
    34,129.41x = 53,422.17 × 53,422.17
  4. Step 4: Simplify right side
    34,129.41x = 2,853,928,447.84
  5. Step 5: Solve for x
    x = 2,853,928,447.84/34,129.41
  6. Step 6: Final answer
    x = 83,620.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.