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Finding the Third Proportional to 19,369 and 28,693

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Solution

The third proportional to 19,369 and 28,693 is: 42,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,369 : 28,693 = 28,693 : x
  2. Step 2: Convert to fraction form
    19,369/28,693 = 28,693/x
  3. Step 3: Cross multiply
    19,369x = 28,693 × 28,693
  4. Step 4: Simplify right side
    19,369x = 823,288,249
  5. Step 5: Solve for x
    x = 823,288,249/19,369
  6. Step 6: Final answer
    x = 42,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.