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Finding the Third Proportional to 9,588.38 and 15,263.44

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Solution

The third proportional to 9,588.38 and 15,263.44 is: 24,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.38 : 15,263.44 = 15,263.44 : x
  2. Step 2: Convert to fraction form
    9,588.38/15,263.44 = 15,263.44/x
  3. Step 3: Cross multiply
    9,588.38x = 15,263.44 × 15,263.44
  4. Step 4: Simplify right side
    9,588.38x = 232,972,524.32
  5. Step 5: Solve for x
    x = 232,972,524.32/9,588.38
  6. Step 6: Final answer
    x = 24,297.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.