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Finding the Third Proportional to 32,131.69 and 37,477.69

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Solution

The third proportional to 32,131.69 and 37,477.69 is: 43,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.69 : 37,477.69 = 37,477.69 : x
  2. Step 2: Convert to fraction form
    32,131.69/37,477.69 = 37,477.69/x
  3. Step 3: Cross multiply
    32,131.69x = 37,477.69 × 37,477.69
  4. Step 4: Simplify right side
    32,131.69x = 1,404,577,060.35
  5. Step 5: Solve for x
    x = 1,404,577,060.35/32,131.69
  6. Step 6: Final answer
    x = 43,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.