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Finding the Third Proportional to 1,695.78 and 2,554.35

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Solution

The third proportional to 1,695.78 and 2,554.35 is: 3,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.78 : 2,554.35 = 2,554.35 : x
  2. Step 2: Convert to fraction form
    1,695.78/2,554.35 = 2,554.35/x
  3. Step 3: Cross multiply
    1,695.78x = 2,554.35 × 2,554.35
  4. Step 4: Simplify right side
    1,695.78x = 6,524,691.95
  5. Step 5: Solve for x
    x = 6,524,691.95/1,695.78
  6. Step 6: Final answer
    x = 3,847.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.