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Finding the Third Proportional to 24,482 and 34,971

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Solution

The third proportional to 24,482 and 34,971 is: 49,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 34,971 = 34,971 : x
  2. Step 2: Convert to fraction form
    24,482/34,971 = 34,971/x
  3. Step 3: Cross multiply
    24,482x = 34,971 × 34,971
  4. Step 4: Simplify right side
    24,482x = 1,222,970,841
  5. Step 5: Solve for x
    x = 1,222,970,841/24,482
  6. Step 6: Final answer
    x = 49,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.