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Finding the Third Proportional to 17,088.75 and 19,518.75

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Solution

The third proportional to 17,088.75 and 19,518.75 is: 22,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088.75 : 19,518.75 = 19,518.75 : x
  2. Step 2: Convert to fraction form
    17,088.75/19,518.75 = 19,518.75/x
  3. Step 3: Cross multiply
    17,088.75x = 19,518.75 × 19,518.75
  4. Step 4: Simplify right side
    17,088.75x = 380,981,601.56
  5. Step 5: Solve for x
    x = 380,981,601.56/17,088.75
  6. Step 6: Final answer
    x = 22,294.29

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.