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Finding the Third Proportional to 20,359 and 29,810

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Solution

The third proportional to 20,359 and 29,810 is: 43,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359 : 29,810 = 29,810 : x
  2. Step 2: Convert to fraction form
    20,359/29,810 = 29,810/x
  3. Step 3: Cross multiply
    20,359x = 29,810 × 29,810
  4. Step 4: Simplify right side
    20,359x = 888,636,100
  5. Step 5: Solve for x
    x = 888,636,100/20,359
  6. Step 6: Final answer
    x = 43,648.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.