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Finding the Third Proportional to 3,283.88 and 4,928.91

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Solution

The third proportional to 3,283.88 and 4,928.91 is: 7,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.88 : 4,928.91 = 4,928.91 : x
  2. Step 2: Convert to fraction form
    3,283.88/4,928.91 = 4,928.91/x
  3. Step 3: Cross multiply
    3,283.88x = 4,928.91 × 4,928.91
  4. Step 4: Simplify right side
    3,283.88x = 24,294,116.82
  5. Step 5: Solve for x
    x = 24,294,116.82/3,283.88
  6. Step 6: Final answer
    x = 7,398.00

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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.