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Finding the Third Proportional to 37,669.25 and 58,364.50

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Solution

The third proportional to 37,669.25 and 58,364.50 is: 90,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669.25 : 58,364.50 = 58,364.50 : x
  2. Step 2: Convert to fraction form
    37,669.25/58,364.50 = 58,364.50/x
  3. Step 3: Cross multiply
    37,669.25x = 58,364.50 × 58,364.50
  4. Step 4: Simplify right side
    37,669.25x = 3,406,414,860.25
  5. Step 5: Solve for x
    x = 3,406,414,860.25/37,669.25
  6. Step 6: Final answer
    x = 90,429.59

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