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Finding the Third Proportional to 27,320 and 41,709

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Solution

The third proportional to 27,320 and 41,709 is: 63,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,320 : 41,709 = 41,709 : x
  2. Step 2: Convert to fraction form
    27,320/41,709 = 41,709/x
  3. Step 3: Cross multiply
    27,320x = 41,709 × 41,709
  4. Step 4: Simplify right side
    27,320x = 1,739,640,681
  5. Step 5: Solve for x
    x = 1,739,640,681/27,320
  6. Step 6: Final answer
    x = 63,676.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.