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Finding the Third Proportional to 6,848 and 14,989

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Solution

The third proportional to 6,848 and 14,989 is: 32,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848 : 14,989 = 14,989 : x
  2. Step 2: Convert to fraction form
    6,848/14,989 = 14,989/x
  3. Step 3: Cross multiply
    6,848x = 14,989 × 14,989
  4. Step 4: Simplify right side
    6,848x = 224,670,121
  5. Step 5: Solve for x
    x = 224,670,121/6,848
  6. Step 6: Final answer
    x = 32,808.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.