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Finding the Third Proportional to 24,416 and 34,960

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Solution

The third proportional to 24,416 and 34,960 is: 50,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 34,960 = 34,960 : x
  2. Step 2: Convert to fraction form
    24,416/34,960 = 34,960/x
  3. Step 3: Cross multiply
    24,416x = 34,960 × 34,960
  4. Step 4: Simplify right side
    24,416x = 1,222,201,600
  5. Step 5: Solve for x
    x = 1,222,201,600/24,416
  6. Step 6: Final answer
    x = 50,057.40

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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.