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Finding the Third Proportional to 17,084.25 and 37,459.13

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Solution

The third proportional to 17,084.25 and 37,459.13 is: 82,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.25 : 37,459.13 = 37,459.13 : x
  2. Step 2: Convert to fraction form
    17,084.25/37,459.13 = 37,459.13/x
  3. Step 3: Cross multiply
    17,084.25x = 37,459.13 × 37,459.13
  4. Step 4: Simplify right side
    17,084.25x = 1,403,186,045.77
  5. Step 5: Solve for x
    x = 1,403,186,045.77/17,084.25
  6. Step 6: Final answer
    x = 82,133.31

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