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Finding the Third Proportional to 2,289.03 and 3,432.88

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Solution

The third proportional to 2,289.03 and 3,432.88 is: 5,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.03 : 3,432.88 = 3,432.88 : x
  2. Step 2: Convert to fraction form
    2,289.03/3,432.88 = 3,432.88/x
  3. Step 3: Cross multiply
    2,289.03x = 3,432.88 × 3,432.88
  4. Step 4: Simplify right side
    2,289.03x = 11,784,630.77
  5. Step 5: Solve for x
    x = 11,784,630.77/2,289.03
  6. Step 6: Final answer
    x = 5,148.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.