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Finding the Third Proportional to 38,574 and 58,273.50

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Solution

The third proportional to 38,574 and 58,273.50 is: 88,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574 : 58,273.50 = 58,273.50 : x
  2. Step 2: Convert to fraction form
    38,574/58,273.50 = 58,273.50/x
  3. Step 3: Cross multiply
    38,574x = 58,273.50 × 58,273.50
  4. Step 4: Simplify right side
    38,574x = 3,395,800,802.25
  5. Step 5: Solve for x
    x = 3,395,800,802.25/38,574
  6. Step 6: Final answer
    x = 88,033.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.