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Finding the Third Proportional to 26,856 and 37,752

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Solution

The third proportional to 26,856 and 37,752 is: 53,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 37,752 = 37,752 : x
  2. Step 2: Convert to fraction form
    26,856/37,752 = 37,752/x
  3. Step 3: Cross multiply
    26,856x = 37,752 × 37,752
  4. Step 4: Simplify right side
    26,856x = 1,425,213,504
  5. Step 5: Solve for x
    x = 1,425,213,504/26,856
  6. Step 6: Final answer
    x = 53,068.72

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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.