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Finding the Third Proportional to 4,915.76 and 7,374.16

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Solution

The third proportional to 4,915.76 and 7,374.16 is: 11,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.76 : 7,374.16 = 7,374.16 : x
  2. Step 2: Convert to fraction form
    4,915.76/7,374.16 = 7,374.16/x
  3. Step 3: Cross multiply
    4,915.76x = 7,374.16 × 7,374.16
  4. Step 4: Simplify right side
    4,915.76x = 54,378,295.62
  5. Step 5: Solve for x
    x = 54,378,295.62/4,915.76
  6. Step 6: Final answer
    x = 11,062.04

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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.