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Finding the Third Proportional to 1,566.84 and 1,874.39

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Solution

The third proportional to 1,566.84 and 1,874.39 is: 2,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.84 : 1,874.39 = 1,874.39 : x
  2. Step 2: Convert to fraction form
    1,566.84/1,874.39 = 1,874.39/x
  3. Step 3: Cross multiply
    1,566.84x = 1,874.39 × 1,874.39
  4. Step 4: Simplify right side
    1,566.84x = 3,513,340.22
  5. Step 5: Solve for x
    x = 3,513,340.22/1,566.84
  6. Step 6: Final answer
    x = 2,242.30

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.