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Finding the Third Proportional to 5,970 and 9,095

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Solution

The third proportional to 5,970 and 9,095 is: 13,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 9,095 = 9,095 : x
  2. Step 2: Convert to fraction form
    5,970/9,095 = 9,095/x
  3. Step 3: Cross multiply
    5,970x = 9,095 × 9,095
  4. Step 4: Simplify right side
    5,970x = 82,719,025
  5. Step 5: Solve for x
    x = 82,719,025/5,970
  6. Step 6: Final answer
    x = 13,855.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.