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Finding the Third Proportional to 20,102 and 28,574

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Solution

The third proportional to 20,102 and 28,574 is: 40,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 28,574 = 28,574 : x
  2. Step 2: Convert to fraction form
    20,102/28,574 = 28,574/x
  3. Step 3: Cross multiply
    20,102x = 28,574 × 28,574
  4. Step 4: Simplify right side
    20,102x = 816,473,476
  5. Step 5: Solve for x
    x = 816,473,476/20,102
  6. Step 6: Final answer
    x = 40,616.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.