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Finding the Third Proportional to 10,607.50 and 15,080.50

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Solution

The third proportional to 10,607.50 and 15,080.50 is: 21,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.50 : 15,080.50 = 15,080.50 : x
  2. Step 2: Convert to fraction form
    10,607.50/15,080.50 = 15,080.50/x
  3. Step 3: Cross multiply
    10,607.50x = 15,080.50 × 15,080.50
  4. Step 4: Simplify right side
    10,607.50x = 227,421,480.25
  5. Step 5: Solve for x
    x = 227,421,480.25/10,607.50
  6. Step 6: Final answer
    x = 21,439.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.