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Finding the Third Proportional to 26,502 and 37,146

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Solution

The third proportional to 26,502 and 37,146 is: 52,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502 : 37,146 = 37,146 : x
  2. Step 2: Convert to fraction form
    26,502/37,146 = 37,146/x
  3. Step 3: Cross multiply
    26,502x = 37,146 × 37,146
  4. Step 4: Simplify right side
    26,502x = 1,379,825,316
  5. Step 5: Solve for x
    x = 1,379,825,316/26,502
  6. Step 6: Final answer
    x = 52,064.95

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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.