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Finding the Third Proportional to 16,417.69 and 19,398.23

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Solution

The third proportional to 16,417.69 and 19,398.23 is: 22,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.69 : 19,398.23 = 19,398.23 : x
  2. Step 2: Convert to fraction form
    16,417.69/19,398.23 = 19,398.23/x
  3. Step 3: Cross multiply
    16,417.69x = 19,398.23 × 19,398.23
  4. Step 4: Simplify right side
    16,417.69x = 376,291,496.87
  5. Step 5: Solve for x
    x = 376,291,496.87/16,417.69
  6. Step 6: Final answer
    x = 22,919.88

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.