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Finding the Third Proportional to 26,995 and 42,253

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Solution

The third proportional to 26,995 and 42,253 is: 66,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,995 : 42,253 = 42,253 : x
  2. Step 2: Convert to fraction form
    26,995/42,253 = 42,253/x
  3. Step 3: Cross multiply
    26,995x = 42,253 × 42,253
  4. Step 4: Simplify right side
    26,995x = 1,785,316,009
  5. Step 5: Solve for x
    x = 1,785,316,009/26,995
  6. Step 6: Final answer
    x = 66,135.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.