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Finding the Third Proportional to 27,709 and 41,890

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Solution

The third proportional to 27,709 and 41,890 is: 63,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709 : 41,890 = 41,890 : x
  2. Step 2: Convert to fraction form
    27,709/41,890 = 41,890/x
  3. Step 3: Cross multiply
    27,709x = 41,890 × 41,890
  4. Step 4: Simplify right side
    27,709x = 1,754,772,100
  5. Step 5: Solve for x
    x = 1,754,772,100/27,709
  6. Step 6: Final answer
    x = 63,328.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.