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Finding the Third Proportional to 58,493 and 79,963.50

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Solution

The third proportional to 58,493 and 79,963.50 is: 109,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,493 : 79,963.50 = 79,963.50 : x
  2. Step 2: Convert to fraction form
    58,493/79,963.50 = 79,963.50/x
  3. Step 3: Cross multiply
    58,493x = 79,963.50 × 79,963.50
  4. Step 4: Simplify right side
    58,493x = 6,394,161,332.25
  5. Step 5: Solve for x
    x = 6,394,161,332.25/58,493
  6. Step 6: Final answer
    x = 109,314.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.