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Finding the Third Proportional to 3,281.06 and 4,938.47

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Solution

The third proportional to 3,281.06 and 4,938.47 is: 7,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.06 : 4,938.47 = 4,938.47 : x
  2. Step 2: Convert to fraction form
    3,281.06/4,938.47 = 4,938.47/x
  3. Step 3: Cross multiply
    3,281.06x = 4,938.47 × 4,938.47
  4. Step 4: Simplify right side
    3,281.06x = 24,388,473.59
  5. Step 5: Solve for x
    x = 24,388,473.59/3,281.06
  6. Step 6: Final answer
    x = 7,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.