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Finding the Third Proportional to 1,527.29 and 3,332.71

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Solution

The third proportional to 1,527.29 and 3,332.71 is: 7,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.29 : 3,332.71 = 3,332.71 : x
  2. Step 2: Convert to fraction form
    1,527.29/3,332.71 = 3,332.71/x
  3. Step 3: Cross multiply
    1,527.29x = 3,332.71 × 3,332.71
  4. Step 4: Simplify right side
    1,527.29x = 11,106,936.16
  5. Step 5: Solve for x
    x = 11,106,936.16/1,527.29
  6. Step 6: Final answer
    x = 7,272.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.