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Finding the Third Proportional to 2,435.46 and 3,871.74

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Solution

The third proportional to 2,435.46 and 3,871.74 is: 6,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.46 : 3,871.74 = 3,871.74 : x
  2. Step 2: Convert to fraction form
    2,435.46/3,871.74 = 3,871.74/x
  3. Step 3: Cross multiply
    2,435.46x = 3,871.74 × 3,871.74
  4. Step 4: Simplify right side
    2,435.46x = 14,990,406.47
  5. Step 5: Solve for x
    x = 14,990,406.47/2,435.46
  6. Step 6: Final answer
    x = 6,155.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.