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Finding the Third Proportional to 22,185 and 48,463.88

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Solution

The third proportional to 22,185 and 48,463.88 is: 105,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185 : 48,463.88 = 48,463.88 : x
  2. Step 2: Convert to fraction form
    22,185/48,463.88 = 48,463.88/x
  3. Step 3: Cross multiply
    22,185x = 48,463.88 × 48,463.88
  4. Step 4: Simplify right side
    22,185x = 2,348,747,180.02
  5. Step 5: Solve for x
    x = 2,348,747,180.02/22,185
  6. Step 6: Final answer
    x = 105,870.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.