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Finding the Third Proportional to 3,348 and 6,439.50

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Solution

The third proportional to 3,348 and 6,439.50 is: 12,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 6,439.50 = 6,439.50 : x
  2. Step 2: Convert to fraction form
    3,348/6,439.50 = 6,439.50/x
  3. Step 3: Cross multiply
    3,348x = 6,439.50 × 6,439.50
  4. Step 4: Simplify right side
    3,348x = 41,467,160.25
  5. Step 5: Solve for x
    x = 41,467,160.25/3,348
  6. Step 6: Final answer
    x = 12,385.65

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.