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Finding the Third Proportional to 53,830.13 and 82,628.44

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Solution

The third proportional to 53,830.13 and 82,628.44 is: 126,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.13 : 82,628.44 = 82,628.44 : x
  2. Step 2: Convert to fraction form
    53,830.13/82,628.44 = 82,628.44/x
  3. Step 3: Cross multiply
    53,830.13x = 82,628.44 × 82,628.44
  4. Step 4: Simplify right side
    53,830.13x = 6,827,458,683.69
  5. Step 5: Solve for x
    x = 6,827,458,683.69/53,830.13
  6. Step 6: Final answer
    x = 126,833.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.