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Finding the Third Proportional to 27,581 and 60,220

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Solution

The third proportional to 27,581 and 60,220 is: 131,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581 : 60,220 = 60,220 : x
  2. Step 2: Convert to fraction form
    27,581/60,220 = 60,220/x
  3. Step 3: Cross multiply
    27,581x = 60,220 × 60,220
  4. Step 4: Simplify right side
    27,581x = 3,626,448,400
  5. Step 5: Solve for x
    x = 3,626,448,400/27,581
  6. Step 6: Final answer
    x = 131,483.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.