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Finding the Third Proportional to 58,221.84 and 82,400.63

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Solution

The third proportional to 58,221.84 and 82,400.63 is: 116,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221.84 : 82,400.63 = 82,400.63 : x
  2. Step 2: Convert to fraction form
    58,221.84/82,400.63 = 82,400.63/x
  3. Step 3: Cross multiply
    58,221.84x = 82,400.63 × 82,400.63
  4. Step 4: Simplify right side
    58,221.84x = 6,789,863,000.39
  5. Step 5: Solve for x
    x = 6,789,863,000.39/58,221.84
  6. Step 6: Final answer
    x = 116,620.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.