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Finding the Third Proportional to 27,262.50 and 56,226

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Solution

The third proportional to 27,262.50 and 56,226 is: 115,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.50 : 56,226 = 56,226 : x
  2. Step 2: Convert to fraction form
    27,262.50/56,226 = 56,226/x
  3. Step 3: Cross multiply
    27,262.50x = 56,226 × 56,226
  4. Step 4: Simplify right side
    27,262.50x = 3,161,363,076
  5. Step 5: Solve for x
    x = 3,161,363,076/27,262.50
  6. Step 6: Final answer
    x = 115,960.13

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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.