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Finding the Third Proportional to 20,737.05 and 31,275.49

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Solution

The third proportional to 20,737.05 and 31,275.49 is: 47,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.05 : 31,275.49 = 31,275.49 : x
  2. Step 2: Convert to fraction form
    20,737.05/31,275.49 = 31,275.49/x
  3. Step 3: Cross multiply
    20,737.05x = 31,275.49 × 31,275.49
  4. Step 4: Simplify right side
    20,737.05x = 978,156,411.57
  5. Step 5: Solve for x
    x = 978,156,411.57/20,737.05
  6. Step 6: Final answer
    x = 47,169.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.