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Finding the Third Proportional to 2,909.50 and 4,432.25

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Solution

The third proportional to 2,909.50 and 4,432.25 is: 6,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.50 : 4,432.25 = 4,432.25 : x
  2. Step 2: Convert to fraction form
    2,909.50/4,432.25 = 4,432.25/x
  3. Step 3: Cross multiply
    2,909.50x = 4,432.25 × 4,432.25
  4. Step 4: Simplify right side
    2,909.50x = 19,644,840.06
  5. Step 5: Solve for x
    x = 19,644,840.06/2,909.50
  6. Step 6: Final answer
    x = 6,751.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.