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Finding the Third Proportional to 22,376 and 48,896

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Solution

The third proportional to 22,376 and 48,896 is: 106,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376 : 48,896 = 48,896 : x
  2. Step 2: Convert to fraction form
    22,376/48,896 = 48,896/x
  3. Step 3: Cross multiply
    22,376x = 48,896 × 48,896
  4. Step 4: Simplify right side
    22,376x = 2,390,818,816
  5. Step 5: Solve for x
    x = 2,390,818,816/22,376
  6. Step 6: Final answer
    x = 106,847.46

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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.