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Finding the Third Proportional to 26,428 and 35,997

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Solution

The third proportional to 26,428 and 35,997 is: 49,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428 : 35,997 = 35,997 : x
  2. Step 2: Convert to fraction form
    26,428/35,997 = 35,997/x
  3. Step 3: Cross multiply
    26,428x = 35,997 × 35,997
  4. Step 4: Simplify right side
    26,428x = 1,295,784,009
  5. Step 5: Solve for x
    x = 1,295,784,009/26,428
  6. Step 6: Final answer
    x = 49,030.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.