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Finding the Third Proportional to 24,358 and 53,181

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Solution

The third proportional to 24,358 and 53,181 is: 116,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358 : 53,181 = 53,181 : x
  2. Step 2: Convert to fraction form
    24,358/53,181 = 53,181/x
  3. Step 3: Cross multiply
    24,358x = 53,181 × 53,181
  4. Step 4: Simplify right side
    24,358x = 2,828,218,761
  5. Step 5: Solve for x
    x = 2,828,218,761/24,358
  6. Step 6: Final answer
    x = 116,110.47

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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.