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Finding the Third Proportional to 13,005.56 and 32,086.13

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Solution

The third proportional to 13,005.56 and 32,086.13 is: 79,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.56 : 32,086.13 = 32,086.13 : x
  2. Step 2: Convert to fraction form
    13,005.56/32,086.13 = 32,086.13/x
  3. Step 3: Cross multiply
    13,005.56x = 32,086.13 × 32,086.13
  4. Step 4: Simplify right side
    13,005.56x = 1,029,519,417.52
  5. Step 5: Solve for x
    x = 1,029,519,417.52/13,005.56
  6. Step 6: Final answer
    x = 79,159.93

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.