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Finding the Third Proportional to 24,768 and 36,496

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Solution

The third proportional to 24,768 and 36,496 is: 53,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 36,496 = 36,496 : x
  2. Step 2: Convert to fraction form
    24,768/36,496 = 36,496/x
  3. Step 3: Cross multiply
    24,768x = 36,496 × 36,496
  4. Step 4: Simplify right side
    24,768x = 1,331,958,016
  5. Step 5: Solve for x
    x = 1,331,958,016/24,768
  6. Step 6: Final answer
    x = 53,777.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.