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Finding the Third Proportional to 19,250 and 28,252

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Solution

The third proportional to 19,250 and 28,252 is: 41,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,250 : 28,252 = 28,252 : x
  2. Step 2: Convert to fraction form
    19,250/28,252 = 28,252/x
  3. Step 3: Cross multiply
    19,250x = 28,252 × 28,252
  4. Step 4: Simplify right side
    19,250x = 798,175,504
  5. Step 5: Solve for x
    x = 798,175,504/19,250
  6. Step 6: Final answer
    x = 41,463.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.