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Finding the Third Proportional to 37,233 and 58,281.50

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Solution

The third proportional to 37,233 and 58,281.50 is: 91,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,233 : 58,281.50 = 58,281.50 : x
  2. Step 2: Convert to fraction form
    37,233/58,281.50 = 58,281.50/x
  3. Step 3: Cross multiply
    37,233x = 58,281.50 × 58,281.50
  4. Step 4: Simplify right side
    37,233x = 3,396,733,242.25
  5. Step 5: Solve for x
    x = 3,396,733,242.25/37,233
  6. Step 6: Final answer
    x = 91,229.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.