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Finding the Third Proportional to 24,178 and 53,262

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Solution

The third proportional to 24,178 and 53,262 is: 117,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 53,262 = 53,262 : x
  2. Step 2: Convert to fraction form
    24,178/53,262 = 53,262/x
  3. Step 3: Cross multiply
    24,178x = 53,262 × 53,262
  4. Step 4: Simplify right side
    24,178x = 2,836,840,644
  5. Step 5: Solve for x
    x = 2,836,840,644/24,178
  6. Step 6: Final answer
    x = 117,331.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.