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Finding the Third Proportional to 38,559 and 58,486.50

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Solution

The third proportional to 38,559 and 58,486.50 is: 88,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,559 : 58,486.50 = 58,486.50 : x
  2. Step 2: Convert to fraction form
    38,559/58,486.50 = 58,486.50/x
  3. Step 3: Cross multiply
    38,559x = 58,486.50 × 58,486.50
  4. Step 4: Simplify right side
    38,559x = 3,420,670,682.25
  5. Step 5: Solve for x
    x = 3,420,670,682.25/38,559
  6. Step 6: Final answer
    x = 88,712.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.