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Finding the Third Proportional to 7,365.94 and 10,699.59

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Solution

The third proportional to 7,365.94 and 10,699.59 is: 15,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.94 : 10,699.59 = 10,699.59 : x
  2. Step 2: Convert to fraction form
    7,365.94/10,699.59 = 10,699.59/x
  3. Step 3: Cross multiply
    7,365.94x = 10,699.59 × 10,699.59
  4. Step 4: Simplify right side
    7,365.94x = 114,481,306.42
  5. Step 5: Solve for x
    x = 114,481,306.42/7,365.94
  6. Step 6: Final answer
    x = 15,541.99

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.