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Finding the Third Proportional to 17,280 and 41,654.25

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Solution

The third proportional to 17,280 and 41,654.25 is: 100,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 41,654.25 = 41,654.25 : x
  2. Step 2: Convert to fraction form
    17,280/41,654.25 = 41,654.25/x
  3. Step 3: Cross multiply
    17,280x = 41,654.25 × 41,654.25
  4. Step 4: Simplify right side
    17,280x = 1,735,076,543.06
  5. Step 5: Solve for x
    x = 1,735,076,543.06/17,280
  6. Step 6: Final answer
    x = 100,409.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.