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Finding the Third Proportional to 27,152 and 56,032

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Solution

The third proportional to 27,152 and 56,032 is: 115,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 56,032 = 56,032 : x
  2. Step 2: Convert to fraction form
    27,152/56,032 = 56,032/x
  3. Step 3: Cross multiply
    27,152x = 56,032 × 56,032
  4. Step 4: Simplify right side
    27,152x = 3,139,585,024
  5. Step 5: Solve for x
    x = 3,139,585,024/27,152
  6. Step 6: Final answer
    x = 115,629.97

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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.