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Finding the Third Proportional to 27,056 and 36,040

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Solution

The third proportional to 27,056 and 36,040 is: 48,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 36,040 = 36,040 : x
  2. Step 2: Convert to fraction form
    27,056/36,040 = 36,040/x
  3. Step 3: Cross multiply
    27,056x = 36,040 × 36,040
  4. Step 4: Simplify right side
    27,056x = 1,298,881,600
  5. Step 5: Solve for x
    x = 1,298,881,600/27,056
  6. Step 6: Final answer
    x = 48,007.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.