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Finding the Third Proportional to 14,574.38 and 31,223.25

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Solution

The third proportional to 14,574.38 and 31,223.25 is: 66,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.38 : 31,223.25 = 31,223.25 : x
  2. Step 2: Convert to fraction form
    14,574.38/31,223.25 = 31,223.25/x
  3. Step 3: Cross multiply
    14,574.38x = 31,223.25 × 31,223.25
  4. Step 4: Simplify right side
    14,574.38x = 974,891,340.56
  5. Step 5: Solve for x
    x = 974,891,340.56/14,574.38
  6. Step 6: Final answer
    x = 66,890.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.