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Finding the Third Proportional to 25,334 and 36,174

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Solution

The third proportional to 25,334 and 36,174 is: 51,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334 : 36,174 = 36,174 : x
  2. Step 2: Convert to fraction form
    25,334/36,174 = 36,174/x
  3. Step 3: Cross multiply
    25,334x = 36,174 × 36,174
  4. Step 4: Simplify right side
    25,334x = 1,308,558,276
  5. Step 5: Solve for x
    x = 1,308,558,276/25,334
  6. Step 6: Final answer
    x = 51,652.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.