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Finding the Third Proportional to 38,275 and 59,106

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Solution

The third proportional to 38,275 and 59,106 is: 91,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275 : 59,106 = 59,106 : x
  2. Step 2: Convert to fraction form
    38,275/59,106 = 59,106/x
  3. Step 3: Cross multiply
    38,275x = 59,106 × 59,106
  4. Step 4: Simplify right side
    38,275x = 3,493,519,236
  5. Step 5: Solve for x
    x = 3,493,519,236/38,275
  6. Step 6: Final answer
    x = 91,274.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.