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Finding the Third Proportional to 15,342.75 and 32,234.63

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Solution

The third proportional to 15,342.75 and 32,234.63 is: 67,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.75 : 32,234.63 = 32,234.63 : x
  2. Step 2: Convert to fraction form
    15,342.75/32,234.63 = 32,234.63/x
  3. Step 3: Cross multiply
    15,342.75x = 32,234.63 × 32,234.63
  4. Step 4: Simplify right side
    15,342.75x = 1,039,071,048.89
  5. Step 5: Solve for x
    x = 1,039,071,048.89/15,342.75
  6. Step 6: Final answer
    x = 67,723.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.