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Finding the Third Proportional to 26,492 and 37,132

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Solution

The third proportional to 26,492 and 37,132 is: 52,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492 : 37,132 = 37,132 : x
  2. Step 2: Convert to fraction form
    26,492/37,132 = 37,132/x
  3. Step 3: Cross multiply
    26,492x = 37,132 × 37,132
  4. Step 4: Simplify right side
    26,492x = 1,378,785,424
  5. Step 5: Solve for x
    x = 1,378,785,424/26,492
  6. Step 6: Final answer
    x = 52,045.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.