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Finding the Third Proportional to 25,110 and 36,896

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Solution

The third proportional to 25,110 and 36,896 is: 54,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,110 : 36,896 = 36,896 : x
  2. Step 2: Convert to fraction form
    25,110/36,896 = 36,896/x
  3. Step 3: Cross multiply
    25,110x = 36,896 × 36,896
  4. Step 4: Simplify right side
    25,110x = 1,361,314,816
  5. Step 5: Solve for x
    x = 1,361,314,816/25,110
  6. Step 6: Final answer
    x = 54,214.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.