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Finding the Third Proportional to 27,364.50 and 59,001

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Solution

The third proportional to 27,364.50 and 59,001 is: 127,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.50 : 59,001 = 59,001 : x
  2. Step 2: Convert to fraction form
    27,364.50/59,001 = 59,001/x
  3. Step 3: Cross multiply
    27,364.50x = 59,001 × 59,001
  4. Step 4: Simplify right side
    27,364.50x = 3,481,118,001
  5. Step 5: Solve for x
    x = 3,481,118,001/27,364.50
  6. Step 6: Final answer
    x = 127,212.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.