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Finding the Third Proportional to 21,746 and 48,020

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Solution

The third proportional to 21,746 and 48,020 is: 106,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746 : 48,020 = 48,020 : x
  2. Step 2: Convert to fraction form
    21,746/48,020 = 48,020/x
  3. Step 3: Cross multiply
    21,746x = 48,020 × 48,020
  4. Step 4: Simplify right side
    21,746x = 2,305,920,400
  5. Step 5: Solve for x
    x = 2,305,920,400/21,746
  6. Step 6: Final answer
    x = 106,038.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.