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Finding the Third Proportional to 13,562.44 and 14,109.19

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Solution

The third proportional to 13,562.44 and 14,109.19 is: 14,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.44 : 14,109.19 = 14,109.19 : x
  2. Step 2: Convert to fraction form
    13,562.44/14,109.19 = 14,109.19/x
  3. Step 3: Cross multiply
    13,562.44x = 14,109.19 × 14,109.19
  4. Step 4: Simplify right side
    13,562.44x = 199,069,171.91
  5. Step 5: Solve for x
    x = 199,069,171.91/13,562.44
  6. Step 6: Final answer
    x = 14,677.98

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.