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Finding the Third Proportional to 2,114.38 and 3,005.22

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Solution

The third proportional to 2,114.38 and 3,005.22 is: 4,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.38 : 3,005.22 = 3,005.22 : x
  2. Step 2: Convert to fraction form
    2,114.38/3,005.22 = 3,005.22/x
  3. Step 3: Cross multiply
    2,114.38x = 3,005.22 × 3,005.22
  4. Step 4: Simplify right side
    2,114.38x = 9,031,339.74
  5. Step 5: Solve for x
    x = 9,031,339.74/2,114.38
  6. Step 6: Final answer
    x = 4,271.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.