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Finding the Third Proportional to 8,947.13 and 13,005.56

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Solution

The third proportional to 8,947.13 and 13,005.56 is: 18,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.13 : 13,005.56 = 13,005.56 : x
  2. Step 2: Convert to fraction form
    8,947.13/13,005.56 = 13,005.56/x
  3. Step 3: Cross multiply
    8,947.13x = 13,005.56 × 13,005.56
  4. Step 4: Simplify right side
    8,947.13x = 169,144,655.94
  5. Step 5: Solve for x
    x = 169,144,655.94/8,947.13
  6. Step 6: Final answer
    x = 18,904.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.