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Finding the Third Proportional to 2,010.76 and 3,000.48

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Solution

The third proportional to 2,010.76 and 3,000.48 is: 4,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.76 : 3,000.48 = 3,000.48 : x
  2. Step 2: Convert to fraction form
    2,010.76/3,000.48 = 3,000.48/x
  3. Step 3: Cross multiply
    2,010.76x = 3,000.48 × 3,000.48
  4. Step 4: Simplify right side
    2,010.76x = 9,002,883.04
  5. Step 5: Solve for x
    x = 9,002,883.04/2,010.76
  6. Step 6: Final answer
    x = 4,477.35

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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.