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Finding the Third Proportional to 53,053.50 and 82,809

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Solution

The third proportional to 53,053.50 and 82,809 is: 129,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,053.50 : 82,809 = 82,809 : x
  2. Step 2: Convert to fraction form
    53,053.50/82,809 = 82,809/x
  3. Step 3: Cross multiply
    53,053.50x = 82,809 × 82,809
  4. Step 4: Simplify right side
    53,053.50x = 6,857,330,481
  5. Step 5: Solve for x
    x = 6,857,330,481/53,053.50
  6. Step 6: Final answer
    x = 129,253.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.