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Finding the Third Proportional to 15,105.75 and 32,011.50

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Solution

The third proportional to 15,105.75 and 32,011.50 is: 67,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.75 : 32,011.50 = 32,011.50 : x
  2. Step 2: Convert to fraction form
    15,105.75/32,011.50 = 32,011.50/x
  3. Step 3: Cross multiply
    15,105.75x = 32,011.50 × 32,011.50
  4. Step 4: Simplify right side
    15,105.75x = 1,024,736,132.25
  5. Step 5: Solve for x
    x = 1,024,736,132.25/15,105.75
  6. Step 6: Final answer
    x = 67,837.49

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