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Finding the Third Proportional to 23,488.50 and 31,312.75

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Solution

The third proportional to 23,488.50 and 31,312.75 is: 41,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.50 : 31,312.75 = 31,312.75 : x
  2. Step 2: Convert to fraction form
    23,488.50/31,312.75 = 31,312.75/x
  3. Step 3: Cross multiply
    23,488.50x = 31,312.75 × 31,312.75
  4. Step 4: Simplify right side
    23,488.50x = 980,488,312.56
  5. Step 5: Solve for x
    x = 980,488,312.56/23,488.50
  6. Step 6: Final answer
    x = 41,743.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.