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Finding the Third Proportional to 8,886.38 and 20,572.31

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Solution

The third proportional to 8,886.38 and 20,572.31 is: 47,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886.38 : 20,572.31 = 20,572.31 : x
  2. Step 2: Convert to fraction form
    8,886.38/20,572.31 = 20,572.31/x
  3. Step 3: Cross multiply
    8,886.38x = 20,572.31 × 20,572.31
  4. Step 4: Simplify right side
    8,886.38x = 423,220,041.60
  5. Step 5: Solve for x
    x = 423,220,041.60/8,886.38
  6. Step 6: Final answer
    x = 47,625.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.