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Finding the Third Proportional to 1,841.77 and 3,977.72

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Solution

The third proportional to 1,841.77 and 3,977.72 is: 8,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.77 : 3,977.72 = 3,977.72 : x
  2. Step 2: Convert to fraction form
    1,841.77/3,977.72 = 3,977.72/x
  3. Step 3: Cross multiply
    1,841.77x = 3,977.72 × 3,977.72
  4. Step 4: Simplify right side
    1,841.77x = 15,822,246.45
  5. Step 5: Solve for x
    x = 15,822,246.45/1,841.77
  6. Step 6: Final answer
    x = 8,590.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.