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Finding the Third Proportional to 2,089.55 and 3,102.68

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Solution

The third proportional to 2,089.55 and 3,102.68 is: 4,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.55 : 3,102.68 = 3,102.68 : x
  2. Step 2: Convert to fraction form
    2,089.55/3,102.68 = 3,102.68/x
  3. Step 3: Cross multiply
    2,089.55x = 3,102.68 × 3,102.68
  4. Step 4: Simplify right side
    2,089.55x = 9,626,621.24
  5. Step 5: Solve for x
    x = 9,626,621.24/2,089.55
  6. Step 6: Final answer
    x = 4,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.