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Finding the Third Proportional to 4,701.66 and 7,288.88

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Solution

The third proportional to 4,701.66 and 7,288.88 is: 11,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.66 : 7,288.88 = 7,288.88 : x
  2. Step 2: Convert to fraction form
    4,701.66/7,288.88 = 7,288.88/x
  3. Step 3: Cross multiply
    4,701.66x = 7,288.88 × 7,288.88
  4. Step 4: Simplify right side
    4,701.66x = 53,127,698.77
  5. Step 5: Solve for x
    x = 53,127,698.77/4,701.66
  6. Step 6: Final answer
    x = 11,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.