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Finding the Third Proportional to 36,594 and 58,275

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Solution

The third proportional to 36,594 and 58,275 is: 92,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,594 : 58,275 = 58,275 : x
  2. Step 2: Convert to fraction form
    36,594/58,275 = 58,275/x
  3. Step 3: Cross multiply
    36,594x = 58,275 × 58,275
  4. Step 4: Simplify right side
    36,594x = 3,395,975,625
  5. Step 5: Solve for x
    x = 3,395,975,625/36,594
  6. Step 6: Final answer
    x = 92,801.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.