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Finding the Third Proportional to 8,307.63 and 11,849.38

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Solution

The third proportional to 8,307.63 and 11,849.38 is: 16,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.63 : 11,849.38 = 11,849.38 : x
  2. Step 2: Convert to fraction form
    8,307.63/11,849.38 = 11,849.38/x
  3. Step 3: Cross multiply
    8,307.63x = 11,849.38 × 11,849.38
  4. Step 4: Simplify right side
    8,307.63x = 140,407,687.89
  5. Step 5: Solve for x
    x = 140,407,687.89/8,307.63
  6. Step 6: Final answer
    x = 16,901.06

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.