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Finding the Third Proportional to 14,282.16 and 31,332.66

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Solution

The third proportional to 14,282.16 and 31,332.66 is: 68,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.16 : 31,332.66 = 31,332.66 : x
  2. Step 2: Convert to fraction form
    14,282.16/31,332.66 = 31,332.66/x
  3. Step 3: Cross multiply
    14,282.16x = 31,332.66 × 31,332.66
  4. Step 4: Simplify right side
    14,282.16x = 981,735,347.68
  5. Step 5: Solve for x
    x = 981,735,347.68/14,282.16
  6. Step 6: Final answer
    x = 68,738.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.