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Finding the Third Proportional to 10,999 and 25,066

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Solution

The third proportional to 10,999 and 25,066 is: 57,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999 : 25,066 = 25,066 : x
  2. Step 2: Convert to fraction form
    10,999/25,066 = 25,066/x
  3. Step 3: Cross multiply
    10,999x = 25,066 × 25,066
  4. Step 4: Simplify right side
    10,999x = 628,304,356
  5. Step 5: Solve for x
    x = 628,304,356/10,999
  6. Step 6: Final answer
    x = 57,123.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.