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Finding the Third Proportional to 26,298 and 56,328.75

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Solution

The third proportional to 26,298 and 56,328.75 is: 120,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 56,328.75 = 56,328.75 : x
  2. Step 2: Convert to fraction form
    26,298/56,328.75 = 56,328.75/x
  3. Step 3: Cross multiply
    26,298x = 56,328.75 × 56,328.75
  4. Step 4: Simplify right side
    26,298x = 3,172,928,076.56
  5. Step 5: Solve for x
    x = 3,172,928,076.56/26,298
  6. Step 6: Final answer
    x = 120,652.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.