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Finding the Third Proportional to 5,415 and 5,955

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Solution

The third proportional to 5,415 and 5,955 is: 6,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415 : 5,955 = 5,955 : x
  2. Step 2: Convert to fraction form
    5,415/5,955 = 5,955/x
  3. Step 3: Cross multiply
    5,415x = 5,955 × 5,955
  4. Step 4: Simplify right side
    5,415x = 35,462,025
  5. Step 5: Solve for x
    x = 35,462,025/5,415
  6. Step 6: Final answer
    x = 6,548.85

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.