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Finding the Third Proportional to 2,007.49 and 3,000.16

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Solution

The third proportional to 2,007.49 and 3,000.16 is: 4,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.49 : 3,000.16 = 3,000.16 : x
  2. Step 2: Convert to fraction form
    2,007.49/3,000.16 = 3,000.16/x
  3. Step 3: Cross multiply
    2,007.49x = 3,000.16 × 3,000.16
  4. Step 4: Simplify right side
    2,007.49x = 9,000,984.40
  5. Step 5: Solve for x
    x = 9,000,984.40/2,007.49
  6. Step 6: Final answer
    x = 4,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.