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Finding the Third Proportional to 8,998.31 and 14,114.53

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Solution

The third proportional to 8,998.31 and 14,114.53 is: 22,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,998.31 : 14,114.53 = 14,114.53 : x
  2. Step 2: Convert to fraction form
    8,998.31/14,114.53 = 14,114.53/x
  3. Step 3: Cross multiply
    8,998.31x = 14,114.53 × 14,114.53
  4. Step 4: Simplify right side
    8,998.31x = 199,219,992.41
  5. Step 5: Solve for x
    x = 199,219,992.41/8,998.31
  6. Step 6: Final answer
    x = 22,139.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.