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Finding the Third Proportional to 10,391 and 22,969

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Solution

The third proportional to 10,391 and 22,969 is: 50,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391 : 22,969 = 22,969 : x
  2. Step 2: Convert to fraction form
    10,391/22,969 = 22,969/x
  3. Step 3: Cross multiply
    10,391x = 22,969 × 22,969
  4. Step 4: Simplify right side
    10,391x = 527,574,961
  5. Step 5: Solve for x
    x = 527,574,961/10,391
  6. Step 6: Final answer
    x = 50,772.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.