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Finding the Third Proportional to 25,377 and 36,066

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Solution

The third proportional to 25,377 and 36,066 is: 51,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,377 : 36,066 = 36,066 : x
  2. Step 2: Convert to fraction form
    25,377/36,066 = 36,066/x
  3. Step 3: Cross multiply
    25,377x = 36,066 × 36,066
  4. Step 4: Simplify right side
    25,377x = 1,300,756,356
  5. Step 5: Solve for x
    x = 1,300,756,356/25,377
  6. Step 6: Final answer
    x = 51,257.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.