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Finding the Third Proportional to 9,965 and 22,968

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Solution

The third proportional to 9,965 and 22,968 is: 52,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965 : 22,968 = 22,968 : x
  2. Step 2: Convert to fraction form
    9,965/22,968 = 22,968/x
  3. Step 3: Cross multiply
    9,965x = 22,968 × 22,968
  4. Step 4: Simplify right side
    9,965x = 527,529,024
  5. Step 5: Solve for x
    x = 527,529,024/9,965
  6. Step 6: Final answer
    x = 52,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.