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Finding the Third Proportional to 2,000.32 and 2,949.12

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Solution

The third proportional to 2,000.32 and 2,949.12 is: 4,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.32 : 2,949.12 = 2,949.12 : x
  2. Step 2: Convert to fraction form
    2,000.32/2,949.12 = 2,949.12/x
  3. Step 3: Cross multiply
    2,000.32x = 2,949.12 × 2,949.12
  4. Step 4: Simplify right side
    2,000.32x = 8,697,292.19
  5. Step 5: Solve for x
    x = 8,697,292.19/2,000.32
  6. Step 6: Final answer
    x = 4,347.95

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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.