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Finding the Third Proportional to 37,327 and 58,263

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Solution

The third proportional to 37,327 and 58,263 is: 90,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,327 : 58,263 = 58,263 : x
  2. Step 2: Convert to fraction form
    37,327/58,263 = 58,263/x
  3. Step 3: Cross multiply
    37,327x = 58,263 × 58,263
  4. Step 4: Simplify right side
    37,327x = 3,394,577,169
  5. Step 5: Solve for x
    x = 3,394,577,169/37,327
  6. Step 6: Final answer
    x = 90,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.