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Finding the Third Proportional to 17,952 and 28,235

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Solution

The third proportional to 17,952 and 28,235 is: 44,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 28,235 = 28,235 : x
  2. Step 2: Convert to fraction form
    17,952/28,235 = 28,235/x
  3. Step 3: Cross multiply
    17,952x = 28,235 × 28,235
  4. Step 4: Simplify right side
    17,952x = 797,215,225
  5. Step 5: Solve for x
    x = 797,215,225/17,952
  6. Step 6: Final answer
    x = 44,408.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.