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Finding the Third Proportional to 22,885 and 48,746

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Solution

The third proportional to 22,885 and 48,746 is: 103,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885 : 48,746 = 48,746 : x
  2. Step 2: Convert to fraction form
    22,885/48,746 = 48,746/x
  3. Step 3: Cross multiply
    22,885x = 48,746 × 48,746
  4. Step 4: Simplify right side
    22,885x = 2,376,172,516
  5. Step 5: Solve for x
    x = 2,376,172,516/22,885
  6. Step 6: Final answer
    x = 103,831.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.