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Finding the Third Proportional to 5,685.47 and 12,143.81

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Solution

The third proportional to 5,685.47 and 12,143.81 is: 25,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.47 : 12,143.81 = 12,143.81 : x
  2. Step 2: Convert to fraction form
    5,685.47/12,143.81 = 12,143.81/x
  3. Step 3: Cross multiply
    5,685.47x = 12,143.81 × 12,143.81
  4. Step 4: Simplify right side
    5,685.47x = 147,472,182.04
  5. Step 5: Solve for x
    x = 147,472,182.04/5,685.47
  6. Step 6: Final answer
    x = 25,938.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.