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Finding the Third Proportional to 37,214 and 78,580

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Solution

The third proportional to 37,214 and 78,580 is: 165,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214 : 78,580 = 78,580 : x
  2. Step 2: Convert to fraction form
    37,214/78,580 = 78,580/x
  3. Step 3: Cross multiply
    37,214x = 78,580 × 78,580
  4. Step 4: Simplify right side
    37,214x = 6,174,816,400
  5. Step 5: Solve for x
    x = 6,174,816,400/37,214
  6. Step 6: Final answer
    x = 165,927.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.