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Finding the Third Proportional to 27,205.88 and 57,715.03

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Solution

The third proportional to 27,205.88 and 57,715.03 is: 122,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.88 : 57,715.03 = 57,715.03 : x
  2. Step 2: Convert to fraction form
    27,205.88/57,715.03 = 57,715.03/x
  3. Step 3: Cross multiply
    27,205.88x = 57,715.03 × 57,715.03
  4. Step 4: Simplify right side
    27,205.88x = 3,331,024,832.19
  5. Step 5: Solve for x
    x = 3,331,024,832.19/27,205.88
  6. Step 6: Final answer
    x = 122,437.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.