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Finding the Third Proportional to 1,868.77 and 4,070.72

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Solution

The third proportional to 1,868.77 and 4,070.72 is: 8,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.77 : 4,070.72 = 4,070.72 : x
  2. Step 2: Convert to fraction form
    1,868.77/4,070.72 = 4,070.72/x
  3. Step 3: Cross multiply
    1,868.77x = 4,070.72 × 4,070.72
  4. Step 4: Simplify right side
    1,868.77x = 16,570,798.85
  5. Step 5: Solve for x
    x = 16,570,798.85/1,868.77
  6. Step 6: Final answer
    x = 8,867.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.