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Finding the Third Proportional to 1,614.80 and 3,487.78

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Solution

The third proportional to 1,614.80 and 3,487.78 is: 7,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.80 : 3,487.78 = 3,487.78 : x
  2. Step 2: Convert to fraction form
    1,614.80/3,487.78 = 3,487.78/x
  3. Step 3: Cross multiply
    1,614.80x = 3,487.78 × 3,487.78
  4. Step 4: Simplify right side
    1,614.80x = 12,164,618.05
  5. Step 5: Solve for x
    x = 12,164,618.05/1,614.80
  6. Step 6: Final answer
    x = 7,533.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.