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Finding the Third Proportional to 21,940 and 48,044

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Solution

The third proportional to 21,940 and 48,044 is: 105,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940 : 48,044 = 48,044 : x
  2. Step 2: Convert to fraction form
    21,940/48,044 = 48,044/x
  3. Step 3: Cross multiply
    21,940x = 48,044 × 48,044
  4. Step 4: Simplify right side
    21,940x = 2,308,225,936
  5. Step 5: Solve for x
    x = 2,308,225,936/21,940
  6. Step 6: Final answer
    x = 105,206.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.