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Finding the Third Proportional to 10,937.81 and 16,968.94

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Solution

The third proportional to 10,937.81 and 16,968.94 is: 26,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.81 : 16,968.94 = 16,968.94 : x
  2. Step 2: Convert to fraction form
    10,937.81/16,968.94 = 16,968.94/x
  3. Step 3: Cross multiply
    10,937.81x = 16,968.94 × 16,968.94
  4. Step 4: Simplify right side
    10,937.81x = 287,944,839.88
  5. Step 5: Solve for x
    x = 287,944,839.88/10,937.81
  6. Step 6: Final answer
    x = 26,325.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.