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Finding the Third Proportional to 26,703 and 56,857.50

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Solution

The third proportional to 26,703 and 56,857.50 is: 121,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,703 : 56,857.50 = 56,857.50 : x
  2. Step 2: Convert to fraction form
    26,703/56,857.50 = 56,857.50/x
  3. Step 3: Cross multiply
    26,703x = 56,857.50 × 56,857.50
  4. Step 4: Simplify right side
    26,703x = 3,232,775,306.25
  5. Step 5: Solve for x
    x = 3,232,775,306.25/26,703
  6. Step 6: Final answer
    x = 121,064.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.