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Finding the Third Proportional to 772.03 and 1,767.76

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Solution

The third proportional to 772.03 and 1,767.76 is: 4,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.03 : 1,767.76 = 1,767.76 : x
  2. Step 2: Convert to fraction form
    772.03/1,767.76 = 1,767.76/x
  3. Step 3: Cross multiply
    772.03x = 1,767.76 × 1,767.76
  4. Step 4: Simplify right side
    772.03x = 3,124,981.49
  5. Step 5: Solve for x
    x = 3,124,981.49/772.03
  6. Step 6: Final answer
    x = 4,047.74

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.