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Finding the Third Proportional to 1,929.66 and 2,614.78

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Solution

The third proportional to 1,929.66 and 2,614.78 is: 3,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.66 : 2,614.78 = 2,614.78 : x
  2. Step 2: Convert to fraction form
    1,929.66/2,614.78 = 2,614.78/x
  3. Step 3: Cross multiply
    1,929.66x = 2,614.78 × 2,614.78
  4. Step 4: Simplify right side
    1,929.66x = 6,837,080.99
  5. Step 5: Solve for x
    x = 6,837,080.99/1,929.66
  6. Step 6: Final answer
    x = 3,543.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.