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Finding the Third Proportional to 27,051 and 41,604

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Solution

The third proportional to 27,051 and 41,604 is: 63,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051 : 41,604 = 41,604 : x
  2. Step 2: Convert to fraction form
    27,051/41,604 = 41,604/x
  3. Step 3: Cross multiply
    27,051x = 41,604 × 41,604
  4. Step 4: Simplify right side
    27,051x = 1,730,892,816
  5. Step 5: Solve for x
    x = 1,730,892,816/27,051
  6. Step 6: Final answer
    x = 63,986.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.