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Finding the Third Proportional to 53,822 and 83,625

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Solution

The third proportional to 53,822 and 83,625 is: 129,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,822 : 83,625 = 83,625 : x
  2. Step 2: Convert to fraction form
    53,822/83,625 = 83,625/x
  3. Step 3: Cross multiply
    53,822x = 83,625 × 83,625
  4. Step 4: Simplify right side
    53,822x = 6,993,140,625
  5. Step 5: Solve for x
    x = 6,993,140,625/53,822
  6. Step 6: Final answer
    x = 129,930.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.