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Finding the Third Proportional to 9,039.75 and 14,380.50

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Solution

The third proportional to 9,039.75 and 14,380.50 is: 22,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.75 : 14,380.50 = 14,380.50 : x
  2. Step 2: Convert to fraction form
    9,039.75/14,380.50 = 14,380.50/x
  3. Step 3: Cross multiply
    9,039.75x = 14,380.50 × 14,380.50
  4. Step 4: Simplify right side
    9,039.75x = 206,798,780.25
  5. Step 5: Solve for x
    x = 206,798,780.25/9,039.75
  6. Step 6: Final answer
    x = 22,876.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.