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Finding the Third Proportional to 24,262.25 and 32,603.25

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Solution

The third proportional to 24,262.25 and 32,603.25 is: 43,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.25 : 32,603.25 = 32,603.25 : x
  2. Step 2: Convert to fraction form
    24,262.25/32,603.25 = 32,603.25/x
  3. Step 3: Cross multiply
    24,262.25x = 32,603.25 × 32,603.25
  4. Step 4: Simplify right side
    24,262.25x = 1,062,971,910.56
  5. Step 5: Solve for x
    x = 1,062,971,910.56/24,262.25
  6. Step 6: Final answer
    x = 43,811.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.