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Finding the Third Proportional to 1,008.91 and 2,177.30

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Solution

The third proportional to 1,008.91 and 2,177.30 is: 4,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.91 : 2,177.30 = 2,177.30 : x
  2. Step 2: Convert to fraction form
    1,008.91/2,177.30 = 2,177.30/x
  3. Step 3: Cross multiply
    1,008.91x = 2,177.30 × 2,177.30
  4. Step 4: Simplify right side
    1,008.91x = 4,740,621.68
  5. Step 5: Solve for x
    x = 4,740,621.68/1,008.91
  6. Step 6: Final answer
    x = 4,698.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.