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Finding the Third Proportional to 29,733.33 and 42,276.30

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Solution

The third proportional to 29,733.33 and 42,276.30 is: 60,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733.33 : 42,276.30 = 42,276.30 : x
  2. Step 2: Convert to fraction form
    29,733.33/42,276.30 = 42,276.30/x
  3. Step 3: Cross multiply
    29,733.33x = 42,276.30 × 42,276.30
  4. Step 4: Simplify right side
    29,733.33x = 1,787,285,938.03
  5. Step 5: Solve for x
    x = 1,787,285,938.03/29,733.33
  6. Step 6: Final answer
    x = 60,110.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.