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Finding the Third Proportional to 10,266.75 and 17,146.69

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Solution

The third proportional to 10,266.75 and 17,146.69 is: 28,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.75 : 17,146.69 = 17,146.69 : x
  2. Step 2: Convert to fraction form
    10,266.75/17,146.69 = 17,146.69/x
  3. Step 3: Cross multiply
    10,266.75x = 17,146.69 × 17,146.69
  4. Step 4: Simplify right side
    10,266.75x = 294,008,892.22
  5. Step 5: Solve for x
    x = 294,008,892.22/10,266.75
  6. Step 6: Final answer
    x = 28,637.00

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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.