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Finding the Third Proportional to 27,923.50 and 60,221

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Solution

The third proportional to 27,923.50 and 60,221 is: 129,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.50 : 60,221 = 60,221 : x
  2. Step 2: Convert to fraction form
    27,923.50/60,221 = 60,221/x
  3. Step 3: Cross multiply
    27,923.50x = 60,221 × 60,221
  4. Step 4: Simplify right side
    27,923.50x = 3,626,568,841
  5. Step 5: Solve for x
    x = 3,626,568,841/27,923.50
  6. Step 6: Final answer
    x = 129,875.15

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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.