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Finding the Third Proportional to 27,368 and 59,848

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Solution

The third proportional to 27,368 and 59,848 is: 130,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368 : 59,848 = 59,848 : x
  2. Step 2: Convert to fraction form
    27,368/59,848 = 59,848/x
  3. Step 3: Cross multiply
    27,368x = 59,848 × 59,848
  4. Step 4: Simplify right side
    27,368x = 3,581,783,104
  5. Step 5: Solve for x
    x = 3,581,783,104/27,368
  6. Step 6: Final answer
    x = 130,874.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.