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Finding the Third Proportional to 7,817.25 and 17,116.13

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Solution

The third proportional to 7,817.25 and 17,116.13 is: 37,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.25 : 17,116.13 = 17,116.13 : x
  2. Step 2: Convert to fraction form
    7,817.25/17,116.13 = 17,116.13/x
  3. Step 3: Cross multiply
    7,817.25x = 17,116.13 × 17,116.13
  4. Step 4: Simplify right side
    7,817.25x = 292,961,735.02
  5. Step 5: Solve for x
    x = 292,961,735.02/7,817.25
  6. Step 6: Final answer
    x = 37,476.32

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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.