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Finding the Third Proportional to 15,277.50 and 33,327

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Solution

The third proportional to 15,277.50 and 33,327 is: 72,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.50 : 33,327 = 33,327 : x
  2. Step 2: Convert to fraction form
    15,277.50/33,327 = 33,327/x
  3. Step 3: Cross multiply
    15,277.50x = 33,327 × 33,327
  4. Step 4: Simplify right side
    15,277.50x = 1,110,688,929
  5. Step 5: Solve for x
    x = 1,110,688,929/15,277.50
  6. Step 6: Final answer
    x = 72,700.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.