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Finding the Third Proportional to 37,468 and 58,012

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Solution

The third proportional to 37,468 and 58,012 is: 89,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468 : 58,012 = 58,012 : x
  2. Step 2: Convert to fraction form
    37,468/58,012 = 58,012/x
  3. Step 3: Cross multiply
    37,468x = 58,012 × 58,012
  4. Step 4: Simplify right side
    37,468x = 3,365,392,144
  5. Step 5: Solve for x
    x = 3,365,392,144/37,468
  6. Step 6: Final answer
    x = 89,820.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.