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Finding the Third Proportional to 8,724.94 and 12,462.19

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Solution

The third proportional to 8,724.94 and 12,462.19 is: 17,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.94 : 12,462.19 = 12,462.19 : x
  2. Step 2: Convert to fraction form
    8,724.94/12,462.19 = 12,462.19/x
  3. Step 3: Cross multiply
    8,724.94x = 12,462.19 × 12,462.19
  4. Step 4: Simplify right side
    8,724.94x = 155,306,117.29
  5. Step 5: Solve for x
    x = 155,306,117.29/8,724.94
  6. Step 6: Final answer
    x = 17,800.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.