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Finding the Third Proportional to 46,003.50 and 71,257.50

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Solution

The third proportional to 46,003.50 and 71,257.50 is: 110,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,003.50 : 71,257.50 = 71,257.50 : x
  2. Step 2: Convert to fraction form
    46,003.50/71,257.50 = 71,257.50/x
  3. Step 3: Cross multiply
    46,003.50x = 71,257.50 × 71,257.50
  4. Step 4: Simplify right side
    46,003.50x = 5,077,631,306.25
  5. Step 5: Solve for x
    x = 5,077,631,306.25/46,003.50
  6. Step 6: Final answer
    x = 110,374.89

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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.