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Finding the Third Proportional to 14,332.50 and 31,425.75

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Solution

The third proportional to 14,332.50 and 31,425.75 is: 68,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.50 : 31,425.75 = 31,425.75 : x
  2. Step 2: Convert to fraction form
    14,332.50/31,425.75 = 31,425.75/x
  3. Step 3: Cross multiply
    14,332.50x = 31,425.75 × 31,425.75
  4. Step 4: Simplify right side
    14,332.50x = 987,577,763.06
  5. Step 5: Solve for x
    x = 987,577,763.06/14,332.50
  6. Step 6: Final answer
    x = 68,904.78

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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.