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Finding the Third Proportional to 5,997.16 and 9,533.95

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Solution

The third proportional to 5,997.16 and 9,533.95 is: 15,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.16 : 9,533.95 = 9,533.95 : x
  2. Step 2: Convert to fraction form
    5,997.16/9,533.95 = 9,533.95/x
  3. Step 3: Cross multiply
    5,997.16x = 9,533.95 × 9,533.95
  4. Step 4: Simplify right side
    5,997.16x = 90,896,262.19
  5. Step 5: Solve for x
    x = 90,896,262.19/5,997.16
  6. Step 6: Final answer
    x = 15,156.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.