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Finding the Third Proportional to 26,298 and 40,739.63

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Solution

The third proportional to 26,298 and 40,739.63 is: 63,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 40,739.63 = 40,739.63 : x
  2. Step 2: Convert to fraction form
    26,298/40,739.63 = 40,739.63/x
  3. Step 3: Cross multiply
    26,298x = 40,739.63 × 40,739.63
  4. Step 4: Simplify right side
    26,298x = 1,659,717,045.14
  5. Step 5: Solve for x
    x = 1,659,717,045.14/26,298
  6. Step 6: Final answer
    x = 63,111.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.