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Finding the Third Proportional to 45,031.50 and 96,984

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Solution

The third proportional to 45,031.50 and 96,984 is: 208,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,031.50 : 96,984 = 96,984 : x
  2. Step 2: Convert to fraction form
    45,031.50/96,984 = 96,984/x
  3. Step 3: Cross multiply
    45,031.50x = 96,984 × 96,984
  4. Step 4: Simplify right side
    45,031.50x = 9,405,896,256
  5. Step 5: Solve for x
    x = 9,405,896,256/45,031.50
  6. Step 6: Final answer
    x = 208,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.