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Finding the Third Proportional to 7,133.25 and 10,978.13

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Solution

The third proportional to 7,133.25 and 10,978.13 is: 16,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.25 : 10,978.13 = 10,978.13 : x
  2. Step 2: Convert to fraction form
    7,133.25/10,978.13 = 10,978.13/x
  3. Step 3: Cross multiply
    7,133.25x = 10,978.13 × 10,978.13
  4. Step 4: Simplify right side
    7,133.25x = 120,519,228.52
  5. Step 5: Solve for x
    x = 120,519,228.52/7,133.25
  6. Step 6: Final answer
    x = 16,895.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.