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Finding the Third Proportional to 20,259 and 30,669

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Solution

The third proportional to 20,259 and 30,669 is: 46,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259 : 30,669 = 30,669 : x
  2. Step 2: Convert to fraction form
    20,259/30,669 = 30,669/x
  3. Step 3: Cross multiply
    20,259x = 30,669 × 30,669
  4. Step 4: Simplify right side
    20,259x = 940,587,561
  5. Step 5: Solve for x
    x = 940,587,561/20,259
  6. Step 6: Final answer
    x = 46,428.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.