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Finding the Third Proportional to 30,295.13 and 62,098.88

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Solution

The third proportional to 30,295.13 and 62,098.88 is: 127,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.13 : 62,098.88 = 62,098.88 : x
  2. Step 2: Convert to fraction form
    30,295.13/62,098.88 = 62,098.88/x
  3. Step 3: Cross multiply
    30,295.13x = 62,098.88 × 62,098.88
  4. Step 4: Simplify right side
    30,295.13x = 3,856,270,276.27
  5. Step 5: Solve for x
    x = 3,856,270,276.27/30,295.13
  6. Step 6: Final answer
    x = 127,290.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.