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Finding the Third Proportional to 34,034.06 and 74,854.13

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Solution

The third proportional to 34,034.06 and 74,854.13 is: 164,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.06 : 74,854.13 = 74,854.13 : x
  2. Step 2: Convert to fraction form
    34,034.06/74,854.13 = 74,854.13/x
  3. Step 3: Cross multiply
    34,034.06x = 74,854.13 × 74,854.13
  4. Step 4: Simplify right side
    34,034.06x = 5,603,140,029.52
  5. Step 5: Solve for x
    x = 5,603,140,029.52/34,034.06
  6. Step 6: Final answer
    x = 164,633.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.