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Finding the Third Proportional to 38,001 and 58,495.50

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Solution

The third proportional to 38,001 and 58,495.50 is: 90,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,001 : 58,495.50 = 58,495.50 : x
  2. Step 2: Convert to fraction form
    38,001/58,495.50 = 58,495.50/x
  3. Step 3: Cross multiply
    38,001x = 58,495.50 × 58,495.50
  4. Step 4: Simplify right side
    38,001x = 3,421,723,520.25
  5. Step 5: Solve for x
    x = 3,421,723,520.25/38,001
  6. Step 6: Final answer
    x = 90,042.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.