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Finding the Third Proportional to 24,618 and 52,190

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Solution

The third proportional to 24,618 and 52,190 is: 110,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618 : 52,190 = 52,190 : x
  2. Step 2: Convert to fraction form
    24,618/52,190 = 52,190/x
  3. Step 3: Cross multiply
    24,618x = 52,190 × 52,190
  4. Step 4: Simplify right side
    24,618x = 2,723,796,100
  5. Step 5: Solve for x
    x = 2,723,796,100/24,618
  6. Step 6: Final answer
    x = 110,642.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.