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Finding the Third Proportional to 5,989 and 14,095

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Solution

The third proportional to 5,989 and 14,095 is: 33,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989 : 14,095 = 14,095 : x
  2. Step 2: Convert to fraction form
    5,989/14,095 = 14,095/x
  3. Step 3: Cross multiply
    5,989x = 14,095 × 14,095
  4. Step 4: Simplify right side
    5,989x = 198,669,025
  5. Step 5: Solve for x
    x = 198,669,025/5,989
  6. Step 6: Final answer
    x = 33,172.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.