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Finding the Third Proportional to 10,356.75 and 17,498.25

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Solution

The third proportional to 10,356.75 and 17,498.25 is: 29,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.75 : 17,498.25 = 17,498.25 : x
  2. Step 2: Convert to fraction form
    10,356.75/17,498.25 = 17,498.25/x
  3. Step 3: Cross multiply
    10,356.75x = 17,498.25 × 17,498.25
  4. Step 4: Simplify right side
    10,356.75x = 306,188,753.06
  5. Step 5: Solve for x
    x = 306,188,753.06/10,356.75
  6. Step 6: Final answer
    x = 29,564.17

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.