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Finding the Third Proportional to 2,107.69 and 2,527.88

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Solution

The third proportional to 2,107.69 and 2,527.88 is: 3,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 2,527.88 = 2,527.88 : x
  2. Step 2: Convert to fraction form
    2,107.69/2,527.88 = 2,527.88/x
  3. Step 3: Cross multiply
    2,107.69x = 2,527.88 × 2,527.88
  4. Step 4: Simplify right side
    2,107.69x = 6,390,152.02
  5. Step 5: Solve for x
    x = 6,390,152.02/2,107.69
  6. Step 6: Final answer
    x = 3,031.83

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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.