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Finding the Third Proportional to 22,160 and 48,625

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Solution

The third proportional to 22,160 and 48,625 is: 106,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160 : 48,625 = 48,625 : x
  2. Step 2: Convert to fraction form
    22,160/48,625 = 48,625/x
  3. Step 3: Cross multiply
    22,160x = 48,625 × 48,625
  4. Step 4: Simplify right side
    22,160x = 2,364,390,625
  5. Step 5: Solve for x
    x = 2,364,390,625/22,160
  6. Step 6: Final answer
    x = 106,696.33

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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.