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Finding the Third Proportional to 15,159.75 and 32,380.50

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Solution

The third proportional to 15,159.75 and 32,380.50 is: 69,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.75 : 32,380.50 = 32,380.50 : x
  2. Step 2: Convert to fraction form
    15,159.75/32,380.50 = 32,380.50/x
  3. Step 3: Cross multiply
    15,159.75x = 32,380.50 × 32,380.50
  4. Step 4: Simplify right side
    15,159.75x = 1,048,496,780.25
  5. Step 5: Solve for x
    x = 1,048,496,780.25/15,159.75
  6. Step 6: Final answer
    x = 69,163.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.