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Finding the Third Proportional to 1,886.93 and 2,881.12

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Solution

The third proportional to 1,886.93 and 2,881.12 is: 4,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.93 : 2,881.12 = 2,881.12 : x
  2. Step 2: Convert to fraction form
    1,886.93/2,881.12 = 2,881.12/x
  3. Step 3: Cross multiply
    1,886.93x = 2,881.12 × 2,881.12
  4. Step 4: Simplify right side
    1,886.93x = 8,300,830.62
  5. Step 5: Solve for x
    x = 8,300,830.62/1,886.93
  6. Step 6: Final answer
    x = 4,399.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.