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Finding the Third Proportional to 25,520.06 and 38,302.88

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Solution

The third proportional to 25,520.06 and 38,302.88 is: 57,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520.06 : 38,302.88 = 38,302.88 : x
  2. Step 2: Convert to fraction form
    25,520.06/38,302.88 = 38,302.88/x
  3. Step 3: Cross multiply
    25,520.06x = 38,302.88 × 38,302.88
  4. Step 4: Simplify right side
    25,520.06x = 1,467,110,233.27
  5. Step 5: Solve for x
    x = 1,467,110,233.27/25,520.06
  6. Step 6: Final answer
    x = 57,488.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.