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Finding the Third Proportional to 19,013 and 28,357

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Solution

The third proportional to 19,013 and 28,357 is: 42,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,013 : 28,357 = 28,357 : x
  2. Step 2: Convert to fraction form
    19,013/28,357 = 28,357/x
  3. Step 3: Cross multiply
    19,013x = 28,357 × 28,357
  4. Step 4: Simplify right side
    19,013x = 804,119,449
  5. Step 5: Solve for x
    x = 804,119,449/19,013
  6. Step 6: Final answer
    x = 42,293.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.