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Finding the Third Proportional to 24,768 and 51,984

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Solution

The third proportional to 24,768 and 51,984 is: 109,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 51,984 = 51,984 : x
  2. Step 2: Convert to fraction form
    24,768/51,984 = 51,984/x
  3. Step 3: Cross multiply
    24,768x = 51,984 × 51,984
  4. Step 4: Simplify right side
    24,768x = 2,702,336,256
  5. Step 5: Solve for x
    x = 2,702,336,256/24,768
  6. Step 6: Final answer
    x = 109,105.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.