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Finding the Third Proportional to 31,812.75 and 45,349.88

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Solution

The third proportional to 31,812.75 and 45,349.88 is: 64,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.75 : 45,349.88 = 45,349.88 : x
  2. Step 2: Convert to fraction form
    31,812.75/45,349.88 = 45,349.88/x
  3. Step 3: Cross multiply
    31,812.75x = 45,349.88 × 45,349.88
  4. Step 4: Simplify right side
    31,812.75x = 2,056,611,162.52
  5. Step 5: Solve for x
    x = 2,056,611,162.52/31,812.75
  6. Step 6: Final answer
    x = 64,647.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.