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Finding the Third Proportional to 2,432.53 and 5,261.20

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Solution

The third proportional to 2,432.53 and 5,261.20 is: 11,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.53 : 5,261.20 = 5,261.20 : x
  2. Step 2: Convert to fraction form
    2,432.53/5,261.20 = 5,261.20/x
  3. Step 3: Cross multiply
    2,432.53x = 5,261.20 × 5,261.20
  4. Step 4: Simplify right side
    2,432.53x = 27,680,258.32
  5. Step 5: Solve for x
    x = 27,680,258.32/2,432.53
  6. Step 6: Final answer
    x = 11,379.20

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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.