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Finding the Third Proportional to 9,883.38 and 15,392.13

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Solution

The third proportional to 9,883.38 and 15,392.13 is: 23,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.38 : 15,392.13 = 15,392.13 : x
  2. Step 2: Convert to fraction form
    9,883.38/15,392.13 = 15,392.13/x
  3. Step 3: Cross multiply
    9,883.38x = 15,392.13 × 15,392.13
  4. Step 4: Simplify right side
    9,883.38x = 236,917,512.02
  5. Step 5: Solve for x
    x = 236,917,512.02/9,883.38
  6. Step 6: Final answer
    x = 23,971.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.