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Finding the Third Proportional to 26,090 and 37,175

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Solution

The third proportional to 26,090 and 37,175 is: 52,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 37,175 = 37,175 : x
  2. Step 2: Convert to fraction form
    26,090/37,175 = 37,175/x
  3. Step 3: Cross multiply
    26,090x = 37,175 × 37,175
  4. Step 4: Simplify right side
    26,090x = 1,381,980,625
  5. Step 5: Solve for x
    x = 1,381,980,625/26,090
  6. Step 6: Final answer
    x = 52,969.74

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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.