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Finding the Third Proportional to 26,306 and 37,001

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Solution

The third proportional to 26,306 and 37,001 is: 52,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306 : 37,001 = 37,001 : x
  2. Step 2: Convert to fraction form
    26,306/37,001 = 37,001/x
  3. Step 3: Cross multiply
    26,306x = 37,001 × 37,001
  4. Step 4: Simplify right side
    26,306x = 1,369,074,001
  5. Step 5: Solve for x
    x = 1,369,074,001/26,306
  6. Step 6: Final answer
    x = 52,044.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.