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Finding the Third Proportional to 26,998 and 59,308

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Solution

The third proportional to 26,998 and 59,308 is: 130,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,998 : 59,308 = 59,308 : x
  2. Step 2: Convert to fraction form
    26,998/59,308 = 59,308/x
  3. Step 3: Cross multiply
    26,998x = 59,308 × 59,308
  4. Step 4: Simplify right side
    26,998x = 3,517,438,864
  5. Step 5: Solve for x
    x = 3,517,438,864/26,998
  6. Step 6: Final answer
    x = 130,285.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.