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Finding the Third Proportional to 7,165.27 and 10,320.71

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Solution

The third proportional to 7,165.27 and 10,320.71 is: 14,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.27 : 10,320.71 = 10,320.71 : x
  2. Step 2: Convert to fraction form
    7,165.27/10,320.71 = 10,320.71/x
  3. Step 3: Cross multiply
    7,165.27x = 10,320.71 × 10,320.71
  4. Step 4: Simplify right side
    7,165.27x = 106,517,154.89
  5. Step 5: Solve for x
    x = 106,517,154.89/7,165.27
  6. Step 6: Final answer
    x = 14,865.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.