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Finding the Third Proportional to 7,932.94 and 13,699.13

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Solution

The third proportional to 7,932.94 and 13,699.13 is: 23,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.94 : 13,699.13 = 13,699.13 : x
  2. Step 2: Convert to fraction form
    7,932.94/13,699.13 = 13,699.13/x
  3. Step 3: Cross multiply
    7,932.94x = 13,699.13 × 13,699.13
  4. Step 4: Simplify right side
    7,932.94x = 187,666,025.77
  5. Step 5: Solve for x
    x = 187,666,025.77/7,932.94
  6. Step 6: Final answer
    x = 23,656.56

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.