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Finding the Third Proportional to 3,165.75 and 4,730.91

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Solution

The third proportional to 3,165.75 and 4,730.91 is: 7,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,730.91 = 4,730.91 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,730.91 = 4,730.91/x
  3. Step 3: Cross multiply
    3,165.75x = 4,730.91 × 4,730.91
  4. Step 4: Simplify right side
    3,165.75x = 22,381,473.95
  5. Step 5: Solve for x
    x = 22,381,473.95/3,165.75
  6. Step 6: Final answer
    x = 7,069.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.