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Finding the Third Proportional to 37,334 and 83,011

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Solution

The third proportional to 37,334 and 83,011 is: 184,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,334 : 83,011 = 83,011 : x
  2. Step 2: Convert to fraction form
    37,334/83,011 = 83,011/x
  3. Step 3: Cross multiply
    37,334x = 83,011 × 83,011
  4. Step 4: Simplify right side
    37,334x = 6,890,826,121
  5. Step 5: Solve for x
    x = 6,890,826,121/37,334
  6. Step 6: Final answer
    x = 184,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.