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Finding the Third Proportional to 9,823.78 and 13,886.44

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Solution

The third proportional to 9,823.78 and 13,886.44 is: 19,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.78 : 13,886.44 = 13,886.44 : x
  2. Step 2: Convert to fraction form
    9,823.78/13,886.44 = 13,886.44/x
  3. Step 3: Cross multiply
    9,823.78x = 13,886.44 × 13,886.44
  4. Step 4: Simplify right side
    9,823.78x = 192,833,146.44
  5. Step 5: Solve for x
    x = 192,833,146.44/9,823.78
  6. Step 6: Final answer
    x = 19,629.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.