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Finding the Third Proportional to 17,032.50 and 22,218.75

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Solution

The third proportional to 17,032.50 and 22,218.75 is: 28,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.50 : 22,218.75 = 22,218.75 : x
  2. Step 2: Convert to fraction form
    17,032.50/22,218.75 = 22,218.75/x
  3. Step 3: Cross multiply
    17,032.50x = 22,218.75 × 22,218.75
  4. Step 4: Simplify right side
    17,032.50x = 493,672,851.56
  5. Step 5: Solve for x
    x = 493,672,851.56/17,032.50
  6. Step 6: Final answer
    x = 28,984.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.