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Finding the Third Proportional to 27,848 and 43,124

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Solution

The third proportional to 27,848 and 43,124 is: 66,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848 : 43,124 = 43,124 : x
  2. Step 2: Convert to fraction form
    27,848/43,124 = 43,124/x
  3. Step 3: Cross multiply
    27,848x = 43,124 × 43,124
  4. Step 4: Simplify right side
    27,848x = 1,859,679,376
  5. Step 5: Solve for x
    x = 1,859,679,376/27,848
  6. Step 6: Final answer
    x = 66,779.64

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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.