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Finding the Third Proportional to 1,792.76 and 2,768.87

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Solution

The third proportional to 1,792.76 and 2,768.87 is: 4,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.76 : 2,768.87 = 2,768.87 : x
  2. Step 2: Convert to fraction form
    1,792.76/2,768.87 = 2,768.87/x
  3. Step 3: Cross multiply
    1,792.76x = 2,768.87 × 2,768.87
  4. Step 4: Simplify right side
    1,792.76x = 7,666,647.13
  5. Step 5: Solve for x
    x = 7,666,647.13/1,792.76
  6. Step 6: Final answer
    x = 4,276.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.