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Finding the Third Proportional to 1,549.25 and 2,166.94

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Solution

The third proportional to 1,549.25 and 2,166.94 is: 3,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.25 : 2,166.94 = 2,166.94 : x
  2. Step 2: Convert to fraction form
    1,549.25/2,166.94 = 2,166.94/x
  3. Step 3: Cross multiply
    1,549.25x = 2,166.94 × 2,166.94
  4. Step 4: Simplify right side
    1,549.25x = 4,695,618.13
  5. Step 5: Solve for x
    x = 4,695,618.13/1,549.25
  6. Step 6: Final answer
    x = 3,030.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.