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Finding the Third Proportional to 32,448.50 and 70,405

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Solution

The third proportional to 32,448.50 and 70,405 is: 152,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.50 : 70,405 = 70,405 : x
  2. Step 2: Convert to fraction form
    32,448.50/70,405 = 70,405/x
  3. Step 3: Cross multiply
    32,448.50x = 70,405 × 70,405
  4. Step 4: Simplify right side
    32,448.50x = 4,956,864,025
  5. Step 5: Solve for x
    x = 4,956,864,025/32,448.50
  6. Step 6: Final answer
    x = 152,760.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.