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Finding the Third Proportional to 17,658 and 28,239

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Solution

The third proportional to 17,658 and 28,239 is: 45,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 28,239 = 28,239 : x
  2. Step 2: Convert to fraction form
    17,658/28,239 = 28,239/x
  3. Step 3: Cross multiply
    17,658x = 28,239 × 28,239
  4. Step 4: Simplify right side
    17,658x = 797,441,121
  5. Step 5: Solve for x
    x = 797,441,121/17,658
  6. Step 6: Final answer
    x = 45,160.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.