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Finding the Third Proportional to 27,146 and 56,038

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Solution

The third proportional to 27,146 and 56,038 is: 115,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146 : 56,038 = 56,038 : x
  2. Step 2: Convert to fraction form
    27,146/56,038 = 56,038/x
  3. Step 3: Cross multiply
    27,146x = 56,038 × 56,038
  4. Step 4: Simplify right side
    27,146x = 3,140,257,444
  5. Step 5: Solve for x
    x = 3,140,257,444/27,146
  6. Step 6: Final answer
    x = 115,680.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.