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Finding the Third Proportional to 1,700.68 and 2,599.80

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Solution

The third proportional to 1,700.68 and 2,599.80 is: 3,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.68 : 2,599.80 = 2,599.80 : x
  2. Step 2: Convert to fraction form
    1,700.68/2,599.80 = 2,599.80/x
  3. Step 3: Cross multiply
    1,700.68x = 2,599.80 × 2,599.80
  4. Step 4: Simplify right side
    1,700.68x = 6,758,984.41
  5. Step 5: Solve for x
    x = 6,758,984.41/1,700.68
  6. Step 6: Final answer
    x = 3,974.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.