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Finding the Third Proportional to 1,699.13 and 2,614.88

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Solution

The third proportional to 1,699.13 and 2,614.88 is: 4,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.13 : 2,614.88 = 2,614.88 : x
  2. Step 2: Convert to fraction form
    1,699.13/2,614.88 = 2,614.88/x
  3. Step 3: Cross multiply
    1,699.13x = 2,614.88 × 2,614.88
  4. Step 4: Simplify right side
    1,699.13x = 6,837,571.27
  5. Step 5: Solve for x
    x = 6,837,571.27/1,699.13
  6. Step 6: Final answer
    x = 4,024.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.