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Finding the Third Proportional to 2,062.97 and 2,802.80

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Solution

The third proportional to 2,062.97 and 2,802.80 is: 3,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.97 : 2,802.80 = 2,802.80 : x
  2. Step 2: Convert to fraction form
    2,062.97/2,802.80 = 2,802.80/x
  3. Step 3: Cross multiply
    2,062.97x = 2,802.80 × 2,802.80
  4. Step 4: Simplify right side
    2,062.97x = 7,855,670.32
  5. Step 5: Solve for x
    x = 7,855,670.32/2,062.97
  6. Step 6: Final answer
    x = 3,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.