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Finding the Third Proportional to 17,280 and 37,867.50

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Solution

The third proportional to 17,280 and 37,867.50 is: 82,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 37,867.50 = 37,867.50 : x
  2. Step 2: Convert to fraction form
    17,280/37,867.50 = 37,867.50/x
  3. Step 3: Cross multiply
    17,280x = 37,867.50 × 37,867.50
  4. Step 4: Simplify right side
    17,280x = 1,433,947,556.25
  5. Step 5: Solve for x
    x = 1,433,947,556.25/17,280
  6. Step 6: Final answer
    x = 82,983.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.