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Finding the Third Proportional to 28,186 and 39,407

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Solution

The third proportional to 28,186 and 39,407 is: 55,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186 : 39,407 = 39,407 : x
  2. Step 2: Convert to fraction form
    28,186/39,407 = 39,407/x
  3. Step 3: Cross multiply
    28,186x = 39,407 × 39,407
  4. Step 4: Simplify right side
    28,186x = 1,552,911,649
  5. Step 5: Solve for x
    x = 1,552,911,649/28,186
  6. Step 6: Final answer
    x = 55,095.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.