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Finding the Third Proportional to 32,162.06 and 47,774.81

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Solution

The third proportional to 32,162.06 and 47,774.81 is: 70,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.06 : 47,774.81 = 47,774.81 : x
  2. Step 2: Convert to fraction form
    32,162.06/47,774.81 = 47,774.81/x
  3. Step 3: Cross multiply
    32,162.06x = 47,774.81 × 47,774.81
  4. Step 4: Simplify right side
    32,162.06x = 2,282,432,709.41
  5. Step 5: Solve for x
    x = 2,282,432,709.41/32,162.06
  6. Step 6: Final answer
    x = 70,966.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.