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Finding the Third Proportional to 2,000.11 and 2,948.70

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Solution

The third proportional to 2,000.11 and 2,948.70 is: 4,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.11 : 2,948.70 = 2,948.70 : x
  2. Step 2: Convert to fraction form
    2,000.11/2,948.70 = 2,948.70/x
  3. Step 3: Cross multiply
    2,000.11x = 2,948.70 × 2,948.70
  4. Step 4: Simplify right side
    2,000.11x = 8,694,804.05
  5. Step 5: Solve for x
    x = 8,694,804.05/2,000.11
  6. Step 6: Final answer
    x = 4,347.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.