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Finding the Third Proportional to 34,111.13 and 47,967.19

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Solution

The third proportional to 34,111.13 and 47,967.19 is: 67,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.13 : 47,967.19 = 47,967.19 : x
  2. Step 2: Convert to fraction form
    34,111.13/47,967.19 = 47,967.19/x
  3. Step 3: Cross multiply
    34,111.13x = 47,967.19 × 47,967.19
  4. Step 4: Simplify right side
    34,111.13x = 2,300,851,076.66
  5. Step 5: Solve for x
    x = 2,300,851,076.66/34,111.13
  6. Step 6: Final answer
    x = 67,451.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.