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Finding the Third Proportional to 5,266.74 and 10,700.07

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Solution

The third proportional to 5,266.74 and 10,700.07 is: 21,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.74 : 10,700.07 = 10,700.07 : x
  2. Step 2: Convert to fraction form
    5,266.74/10,700.07 = 10,700.07/x
  3. Step 3: Cross multiply
    5,266.74x = 10,700.07 × 10,700.07
  4. Step 4: Simplify right side
    5,266.74x = 114,491,462.90
  5. Step 5: Solve for x
    x = 114,491,462.90/5,266.74
  6. Step 6: Final answer
    x = 21,738.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.