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Finding the Third Proportional to 5,070.09 and 10,266.75

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Solution

The third proportional to 5,070.09 and 10,266.75 is: 20,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.09 : 10,266.75 = 10,266.75 : x
  2. Step 2: Convert to fraction form
    5,070.09/10,266.75 = 10,266.75/x
  3. Step 3: Cross multiply
    5,070.09x = 10,266.75 × 10,266.75
  4. Step 4: Simplify right side
    5,070.09x = 105,406,155.56
  5. Step 5: Solve for x
    x = 105,406,155.56/5,070.09
  6. Step 6: Final answer
    x = 20,789.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.