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Finding the Third Proportional to 4,731.86 and 6,635.04

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Solution

The third proportional to 4,731.86 and 6,635.04 is: 9,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.86 : 6,635.04 = 6,635.04 : x
  2. Step 2: Convert to fraction form
    4,731.86/6,635.04 = 6,635.04/x
  3. Step 3: Cross multiply
    4,731.86x = 6,635.04 × 6,635.04
  4. Step 4: Simplify right side
    4,731.86x = 44,023,743.36
  5. Step 5: Solve for x
    x = 44,023,743.36/4,731.86
  6. Step 6: Final answer
    x = 9,303.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.