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Finding the Third Proportional to 10,283.60 and 15,358.12

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Solution

The third proportional to 10,283.60 and 15,358.12 is: 22,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.60 : 15,358.12 = 15,358.12 : x
  2. Step 2: Convert to fraction form
    10,283.60/15,358.12 = 15,358.12/x
  3. Step 3: Cross multiply
    10,283.60x = 15,358.12 × 15,358.12
  4. Step 4: Simplify right side
    10,283.60x = 235,871,913.53
  5. Step 5: Solve for x
    x = 235,871,913.53/10,283.60
  6. Step 6: Final answer
    x = 22,936.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.