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Finding the Third Proportional to 34,432.50 and 72,999

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Solution

The third proportional to 34,432.50 and 72,999 is: 154,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,432.50 : 72,999 = 72,999 : x
  2. Step 2: Convert to fraction form
    34,432.50/72,999 = 72,999/x
  3. Step 3: Cross multiply
    34,432.50x = 72,999 × 72,999
  4. Step 4: Simplify right side
    34,432.50x = 5,328,854,001
  5. Step 5: Solve for x
    x = 5,328,854,001/34,432.50
  6. Step 6: Final answer
    x = 154,762.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.