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Finding the Third Proportional to 5,867.81 and 13,047.52

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Solution

The third proportional to 5,867.81 and 13,047.52 is: 29,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.81 : 13,047.52 = 13,047.52 : x
  2. Step 2: Convert to fraction form
    5,867.81/13,047.52 = 13,047.52/x
  3. Step 3: Cross multiply
    5,867.81x = 13,047.52 × 13,047.52
  4. Step 4: Simplify right side
    5,867.81x = 170,237,663.98
  5. Step 5: Solve for x
    x = 170,237,663.98/5,867.81
  6. Step 6: Final answer
    x = 29,012.12

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.