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Finding the Third Proportional to 28,441.50 and 39,206

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Solution

The third proportional to 28,441.50 and 39,206 is: 54,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,441.50 : 39,206 = 39,206 : x
  2. Step 2: Convert to fraction form
    28,441.50/39,206 = 39,206/x
  3. Step 3: Cross multiply
    28,441.50x = 39,206 × 39,206
  4. Step 4: Simplify right side
    28,441.50x = 1,537,110,436
  5. Step 5: Solve for x
    x = 1,537,110,436/28,441.50
  6. Step 6: Final answer
    x = 54,044.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.