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Finding the Third Proportional to 24,768 and 53,376

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Solution

The third proportional to 24,768 and 53,376 is: 115,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 53,376 = 53,376 : x
  2. Step 2: Convert to fraction form
    24,768/53,376 = 53,376/x
  3. Step 3: Cross multiply
    24,768x = 53,376 × 53,376
  4. Step 4: Simplify right side
    24,768x = 2,848,997,376
  5. Step 5: Solve for x
    x = 2,848,997,376/24,768
  6. Step 6: Final answer
    x = 115,027.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.