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Finding the Third Proportional to 20,031.47 and 43,275.09

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Solution

The third proportional to 20,031.47 and 43,275.09 is: 93,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.47 : 43,275.09 = 43,275.09 : x
  2. Step 2: Convert to fraction form
    20,031.47/43,275.09 = 43,275.09/x
  3. Step 3: Cross multiply
    20,031.47x = 43,275.09 × 43,275.09
  4. Step 4: Simplify right side
    20,031.47x = 1,872,733,739.07
  5. Step 5: Solve for x
    x = 1,872,733,739.07/20,031.47
  6. Step 6: Final answer
    x = 93,489.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.