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Finding the Third Proportional to 35,515.69 and 59,185.13

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Solution

The third proportional to 35,515.69 and 59,185.13 is: 98,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,515.69 : 59,185.13 = 59,185.13 : x
  2. Step 2: Convert to fraction form
    35,515.69/59,185.13 = 59,185.13/x
  3. Step 3: Cross multiply
    35,515.69x = 59,185.13 × 59,185.13
  4. Step 4: Simplify right side
    35,515.69x = 3,502,879,021.27
  5. Step 5: Solve for x
    x = 3,502,879,021.27/35,515.69
  6. Step 6: Final answer
    x = 98,629.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.