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Finding the Third Proportional to 29,739.66 and 40,370.91

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Solution

The third proportional to 29,739.66 and 40,370.91 is: 54,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.66 : 40,370.91 = 40,370.91 : x
  2. Step 2: Convert to fraction form
    29,739.66/40,370.91 = 40,370.91/x
  3. Step 3: Cross multiply
    29,739.66x = 40,370.91 × 40,370.91
  4. Step 4: Simplify right side
    29,739.66x = 1,629,810,071.45
  5. Step 5: Solve for x
    x = 1,629,810,071.45/29,739.66
  6. Step 6: Final answer
    x = 54,802.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.