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Finding the Third Proportional to 58,444 and 82,697

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Solution

The third proportional to 58,444 and 82,697 is: 117,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,444 : 82,697 = 82,697 : x
  2. Step 2: Convert to fraction form
    58,444/82,697 = 82,697/x
  3. Step 3: Cross multiply
    58,444x = 82,697 × 82,697
  4. Step 4: Simplify right side
    58,444x = 6,838,793,809
  5. Step 5: Solve for x
    x = 6,838,793,809/58,444
  6. Step 6: Final answer
    x = 117,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.