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Finding the Third Proportional to 32,946.75 and 44,276.63

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Solution

The third proportional to 32,946.75 and 44,276.63 is: 59,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.75 : 44,276.63 = 44,276.63 : x
  2. Step 2: Convert to fraction form
    32,946.75/44,276.63 = 44,276.63/x
  3. Step 3: Cross multiply
    32,946.75x = 44,276.63 × 44,276.63
  4. Step 4: Simplify right side
    32,946.75x = 1,960,419,521.39
  5. Step 5: Solve for x
    x = 1,960,419,521.39/32,946.75
  6. Step 6: Final answer
    x = 59,502.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.