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Finding the Third Proportional to 12,952.13 and 16,851.38

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Solution

The third proportional to 12,952.13 and 16,851.38 is: 21,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.13 : 16,851.38 = 16,851.38 : x
  2. Step 2: Convert to fraction form
    12,952.13/16,851.38 = 16,851.38/x
  3. Step 3: Cross multiply
    12,952.13x = 16,851.38 × 16,851.38
  4. Step 4: Simplify right side
    12,952.13x = 283,968,839.39
  5. Step 5: Solve for x
    x = 283,968,839.39/12,952.13
  6. Step 6: Final answer
    x = 21,924.50

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.