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Finding the Third Proportional to 20,104 and 30,587

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Solution

The third proportional to 20,104 and 30,587 is: 46,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 30,587 = 30,587 : x
  2. Step 2: Convert to fraction form
    20,104/30,587 = 30,587/x
  3. Step 3: Cross multiply
    20,104x = 30,587 × 30,587
  4. Step 4: Simplify right side
    20,104x = 935,564,569
  5. Step 5: Solve for x
    x = 935,564,569/20,104
  6. Step 6: Final answer
    x = 46,536.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.