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Finding the Third Proportional to 4,237.31 and 8,987.20

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Solution

The third proportional to 4,237.31 and 8,987.20 is: 19,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.31 : 8,987.20 = 8,987.20 : x
  2. Step 2: Convert to fraction form
    4,237.31/8,987.20 = 8,987.20/x
  3. Step 3: Cross multiply
    4,237.31x = 8,987.20 × 8,987.20
  4. Step 4: Simplify right side
    4,237.31x = 80,769,820.01
  5. Step 5: Solve for x
    x = 80,769,820.01/4,237.31
  6. Step 6: Final answer
    x = 19,061.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.