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Finding the Third Proportional to 28,184 and 39,646

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Solution

The third proportional to 28,184 and 39,646 is: 55,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184 : 39,646 = 39,646 : x
  2. Step 2: Convert to fraction form
    28,184/39,646 = 39,646/x
  3. Step 3: Cross multiply
    28,184x = 39,646 × 39,646
  4. Step 4: Simplify right side
    28,184x = 1,571,805,316
  5. Step 5: Solve for x
    x = 1,571,805,316/28,184
  6. Step 6: Final answer
    x = 55,769.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.