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Finding the Third Proportional to 7,934.06 and 11,655.56

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Solution

The third proportional to 7,934.06 and 11,655.56 is: 17,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.06 : 11,655.56 = 11,655.56 : x
  2. Step 2: Convert to fraction form
    7,934.06/11,655.56 = 11,655.56/x
  3. Step 3: Cross multiply
    7,934.06x = 11,655.56 × 11,655.56
  4. Step 4: Simplify right side
    7,934.06x = 135,852,137.19
  5. Step 5: Solve for x
    x = 135,852,137.19/7,934.06
  6. Step 6: Final answer
    x = 17,122.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.