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Finding the Third Proportional to 19,940 and 29,786

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Solution

The third proportional to 19,940 and 29,786 is: 44,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940 : 29,786 = 29,786 : x
  2. Step 2: Convert to fraction form
    19,940/29,786 = 29,786/x
  3. Step 3: Cross multiply
    19,940x = 29,786 × 29,786
  4. Step 4: Simplify right side
    19,940x = 887,205,796
  5. Step 5: Solve for x
    x = 887,205,796/19,940
  6. Step 6: Final answer
    x = 44,493.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.