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Finding the Third Proportional to 27,534.94 and 56,872.13

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Solution

The third proportional to 27,534.94 and 56,872.13 is: 117,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.94 : 56,872.13 = 56,872.13 : x
  2. Step 2: Convert to fraction form
    27,534.94/56,872.13 = 56,872.13/x
  3. Step 3: Cross multiply
    27,534.94x = 56,872.13 × 56,872.13
  4. Step 4: Simplify right side
    27,534.94x = 3,234,438,602.02
  5. Step 5: Solve for x
    x = 3,234,438,602.02/27,534.94
  6. Step 6: Final answer
    x = 117,466.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.