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Finding the Third Proportional to 2,788.59 and 3,700.69

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Solution

The third proportional to 2,788.59 and 3,700.69 is: 4,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.59 : 3,700.69 = 3,700.69 : x
  2. Step 2: Convert to fraction form
    2,788.59/3,700.69 = 3,700.69/x
  3. Step 3: Cross multiply
    2,788.59x = 3,700.69 × 3,700.69
  4. Step 4: Simplify right side
    2,788.59x = 13,695,087.97
  5. Step 5: Solve for x
    x = 13,695,087.97/2,788.59
  6. Step 6: Final answer
    x = 4,911.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.