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Finding the Third Proportional to 20,126.75 and 29,574.38

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Solution

The third proportional to 20,126.75 and 29,574.38 is: 43,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.75 : 29,574.38 = 29,574.38 : x
  2. Step 2: Convert to fraction form
    20,126.75/29,574.38 = 29,574.38/x
  3. Step 3: Cross multiply
    20,126.75x = 29,574.38 × 29,574.38
  4. Step 4: Simplify right side
    20,126.75x = 874,643,656.64
  5. Step 5: Solve for x
    x = 874,643,656.64/20,126.75
  6. Step 6: Final answer
    x = 43,456.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.