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Finding the Third Proportional to 26,303 and 36,997

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Solution

The third proportional to 26,303 and 36,997 is: 52,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,303 : 36,997 = 36,997 : x
  2. Step 2: Convert to fraction form
    26,303/36,997 = 36,997/x
  3. Step 3: Cross multiply
    26,303x = 36,997 × 36,997
  4. Step 4: Simplify right side
    26,303x = 1,368,778,009
  5. Step 5: Solve for x
    x = 1,368,778,009/26,303
  6. Step 6: Final answer
    x = 52,038.86

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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.