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Finding the Third Proportional to 1,614.62 and 2,421.93

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Solution

The third proportional to 1,614.62 and 2,421.93 is: 3,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.62 : 2,421.93 = 2,421.93 : x
  2. Step 2: Convert to fraction form
    1,614.62/2,421.93 = 2,421.93/x
  3. Step 3: Cross multiply
    1,614.62x = 2,421.93 × 2,421.93
  4. Step 4: Simplify right side
    1,614.62x = 5,865,752.87
  5. Step 5: Solve for x
    x = 5,865,752.87/1,614.62
  6. Step 6: Final answer
    x = 3,632.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.