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Finding the Third Proportional to 20,112 and 29,566

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Solution

The third proportional to 20,112 and 29,566 is: 43,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 29,566 = 29,566 : x
  2. Step 2: Convert to fraction form
    20,112/29,566 = 29,566/x
  3. Step 3: Cross multiply
    20,112x = 29,566 × 29,566
  4. Step 4: Simplify right side
    20,112x = 874,148,356
  5. Step 5: Solve for x
    x = 874,148,356/20,112
  6. Step 6: Final answer
    x = 43,464.02

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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.