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Finding the Third Proportional to 17,280 and 24,976.50

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Solution

The third proportional to 17,280 and 24,976.50 is: 36,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 24,976.50 = 24,976.50 : x
  2. Step 2: Convert to fraction form
    17,280/24,976.50 = 24,976.50/x
  3. Step 3: Cross multiply
    17,280x = 24,976.50 × 24,976.50
  4. Step 4: Simplify right side
    17,280x = 623,825,552.25
  5. Step 5: Solve for x
    x = 623,825,552.25/17,280
  6. Step 6: Final answer
    x = 36,101.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.