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Finding the Third Proportional to 22,044 and 48,461

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Solution

The third proportional to 22,044 and 48,461 is: 106,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,044 : 48,461 = 48,461 : x
  2. Step 2: Convert to fraction form
    22,044/48,461 = 48,461/x
  3. Step 3: Cross multiply
    22,044x = 48,461 × 48,461
  4. Step 4: Simplify right side
    22,044x = 2,348,468,521
  5. Step 5: Solve for x
    x = 2,348,468,521/22,044
  6. Step 6: Final answer
    x = 106,535.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.