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Finding the Third Proportional to 12,727.13 and 34,430.06

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Solution

The third proportional to 12,727.13 and 34,430.06 is: 93,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.13 : 34,430.06 = 34,430.06 : x
  2. Step 2: Convert to fraction form
    12,727.13/34,430.06 = 34,430.06/x
  3. Step 3: Cross multiply
    12,727.13x = 34,430.06 × 34,430.06
  4. Step 4: Simplify right side
    12,727.13x = 1,185,429,203.75
  5. Step 5: Solve for x
    x = 1,185,429,203.75/12,727.13
  6. Step 6: Final answer
    x = 93,141.95

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.