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Finding the Third Proportional to 20,266 and 29,748

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Solution

The third proportional to 20,266 and 29,748 is: 43,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266 : 29,748 = 29,748 : x
  2. Step 2: Convert to fraction form
    20,266/29,748 = 29,748/x
  3. Step 3: Cross multiply
    20,266x = 29,748 × 29,748
  4. Step 4: Simplify right side
    20,266x = 884,943,504
  5. Step 5: Solve for x
    x = 884,943,504/20,266
  6. Step 6: Final answer
    x = 43,666.41

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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.