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Finding the Third Proportional to 25,348 and 38,174

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Solution

The third proportional to 25,348 and 38,174 is: 57,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348 : 38,174 = 38,174 : x
  2. Step 2: Convert to fraction form
    25,348/38,174 = 38,174/x
  3. Step 3: Cross multiply
    25,348x = 38,174 × 38,174
  4. Step 4: Simplify right side
    25,348x = 1,457,254,276
  5. Step 5: Solve for x
    x = 1,457,254,276/25,348
  6. Step 6: Final answer
    x = 57,489.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.