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Finding the Third Proportional to 1,858.57 and 2,881.83

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Solution

The third proportional to 1,858.57 and 2,881.83 is: 4,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.57 : 2,881.83 = 2,881.83 : x
  2. Step 2: Convert to fraction form
    1,858.57/2,881.83 = 2,881.83/x
  3. Step 3: Cross multiply
    1,858.57x = 2,881.83 × 2,881.83
  4. Step 4: Simplify right side
    1,858.57x = 8,304,933.34
  5. Step 5: Solve for x
    x = 8,304,933.34/1,858.57
  6. Step 6: Final answer
    x = 4,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.