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Finding the Third Proportional to 9,845.44 and 15,132.38

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Solution

The third proportional to 9,845.44 and 15,132.38 is: 23,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.44 : 15,132.38 = 15,132.38 : x
  2. Step 2: Convert to fraction form
    9,845.44/15,132.38 = 15,132.38/x
  3. Step 3: Cross multiply
    9,845.44x = 15,132.38 × 15,132.38
  4. Step 4: Simplify right side
    9,845.44x = 228,988,773.14
  5. Step 5: Solve for x
    x = 228,988,773.14/9,845.44
  6. Step 6: Final answer
    x = 23,258.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.