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Finding the Third Proportional to 22,140 and 48,170

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Solution

The third proportional to 22,140 and 48,170 is: 104,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140 : 48,170 = 48,170 : x
  2. Step 2: Convert to fraction form
    22,140/48,170 = 48,170/x
  3. Step 3: Cross multiply
    22,140x = 48,170 × 48,170
  4. Step 4: Simplify right side
    22,140x = 2,320,348,900
  5. Step 5: Solve for x
    x = 2,320,348,900/22,140
  6. Step 6: Final answer
    x = 104,803.47

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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.