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Finding the Third Proportional to 1,782 and 2,678.06

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Solution

The third proportional to 1,782 and 2,678.06 is: 4,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,678.06 = 2,678.06 : x
  2. Step 2: Convert to fraction form
    1,782/2,678.06 = 2,678.06/x
  3. Step 3: Cross multiply
    1,782x = 2,678.06 × 2,678.06
  4. Step 4: Simplify right side
    1,782x = 7,172,018.75
  5. Step 5: Solve for x
    x = 7,172,018.75/1,782
  6. Step 6: Final answer
    x = 4,024.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.