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Finding the Third Proportional to 24,462 and 34,988

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Solution

The third proportional to 24,462 and 34,988 is: 50,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 34,988 = 34,988 : x
  2. Step 2: Convert to fraction form
    24,462/34,988 = 34,988/x
  3. Step 3: Cross multiply
    24,462x = 34,988 × 34,988
  4. Step 4: Simplify right side
    24,462x = 1,224,160,144
  5. Step 5: Solve for x
    x = 1,224,160,144/24,462
  6. Step 6: Final answer
    x = 50,043.34

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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.