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Finding the Third Proportional to 4,839 and 11,653.13

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Solution

The third proportional to 4,839 and 11,653.13 is: 28,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839 : 11,653.13 = 11,653.13 : x
  2. Step 2: Convert to fraction form
    4,839/11,653.13 = 11,653.13/x
  3. Step 3: Cross multiply
    4,839x = 11,653.13 × 11,653.13
  4. Step 4: Simplify right side
    4,839x = 135,795,322.27
  5. Step 5: Solve for x
    x = 135,795,322.27/4,839
  6. Step 6: Final answer
    x = 28,062.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.