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Finding the Third Proportional to 7,670.95 and 16,116.47

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Solution

The third proportional to 7,670.95 and 16,116.47 is: 33,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.95 : 16,116.47 = 16,116.47 : x
  2. Step 2: Convert to fraction form
    7,670.95/16,116.47 = 16,116.47/x
  3. Step 3: Cross multiply
    7,670.95x = 16,116.47 × 16,116.47
  4. Step 4: Simplify right side
    7,670.95x = 259,740,564.97
  5. Step 5: Solve for x
    x = 259,740,564.97/7,670.95
  6. Step 6: Final answer
    x = 33,860.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.