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Finding the Third Proportional to 2,000.81 and 2,851.88

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Solution

The third proportional to 2,000.81 and 2,851.88 is: 4,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.81 : 2,851.88 = 2,851.88 : x
  2. Step 2: Convert to fraction form
    2,000.81/2,851.88 = 2,851.88/x
  3. Step 3: Cross multiply
    2,000.81x = 2,851.88 × 2,851.88
  4. Step 4: Simplify right side
    2,000.81x = 8,133,191.02
  5. Step 5: Solve for x
    x = 8,133,191.02/2,000.81
  6. Step 6: Final answer
    x = 4,064.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.