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Finding the Third Proportional to 8,267.50 and 17,352

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Solution

The third proportional to 8,267.50 and 17,352 is: 36,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.50 : 17,352 = 17,352 : x
  2. Step 2: Convert to fraction form
    8,267.50/17,352 = 17,352/x
  3. Step 3: Cross multiply
    8,267.50x = 17,352 × 17,352
  4. Step 4: Simplify right side
    8,267.50x = 301,091,904
  5. Step 5: Solve for x
    x = 301,091,904/8,267.50
  6. Step 6: Final answer
    x = 36,418.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.