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Finding the Third Proportional to 2,004.12 and 2,948.27

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Solution

The third proportional to 2,004.12 and 2,948.27 is: 4,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.12 : 2,948.27 = 2,948.27 : x
  2. Step 2: Convert to fraction form
    2,004.12/2,948.27 = 2,948.27/x
  3. Step 3: Cross multiply
    2,004.12x = 2,948.27 × 2,948.27
  4. Step 4: Simplify right side
    2,004.12x = 8,692,316.26
  5. Step 5: Solve for x
    x = 8,692,316.26/2,004.12
  6. Step 6: Final answer
    x = 4,337.23

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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.