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Finding the Third Proportional to 7,596 and 17,221.50

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Solution

The third proportional to 7,596 and 17,221.50 is: 39,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 17,221.50 = 17,221.50 : x
  2. Step 2: Convert to fraction form
    7,596/17,221.50 = 17,221.50/x
  3. Step 3: Cross multiply
    7,596x = 17,221.50 × 17,221.50
  4. Step 4: Simplify right side
    7,596x = 296,580,062.25
  5. Step 5: Solve for x
    x = 296,580,062.25/7,596
  6. Step 6: Final answer
    x = 39,044.24

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.