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Finding the Third Proportional to 26,287 and 37,786

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Solution

The third proportional to 26,287 and 37,786 is: 54,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,287 : 37,786 = 37,786 : x
  2. Step 2: Convert to fraction form
    26,287/37,786 = 37,786/x
  3. Step 3: Cross multiply
    26,287x = 37,786 × 37,786
  4. Step 4: Simplify right side
    26,287x = 1,427,781,796
  5. Step 5: Solve for x
    x = 1,427,781,796/26,287
  6. Step 6: Final answer
    x = 54,315.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.