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Finding the Third Proportional to 19,293 and 28,372.50

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Solution

The third proportional to 19,293 and 28,372.50 is: 41,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,293 : 28,372.50 = 28,372.50 : x
  2. Step 2: Convert to fraction form
    19,293/28,372.50 = 28,372.50/x
  3. Step 3: Cross multiply
    19,293x = 28,372.50 × 28,372.50
  4. Step 4: Simplify right side
    19,293x = 804,998,756.25
  5. Step 5: Solve for x
    x = 804,998,756.25/19,293
  6. Step 6: Final answer
    x = 41,724.91

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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.