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Finding the Third Proportional to 28,748.25 and 39,587.06

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Solution

The third proportional to 28,748.25 and 39,587.06 is: 54,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,748.25 : 39,587.06 = 39,587.06 : x
  2. Step 2: Convert to fraction form
    28,748.25/39,587.06 = 39,587.06/x
  3. Step 3: Cross multiply
    28,748.25x = 39,587.06 × 39,587.06
  4. Step 4: Simplify right side
    28,748.25x = 1,567,135,517.38
  5. Step 5: Solve for x
    x = 1,567,135,517.38/28,748.25
  6. Step 6: Final answer
    x = 54,512.38

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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.