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Finding the Third Proportional to 32,064 and 47,754

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Solution

The third proportional to 32,064 and 47,754 is: 71,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064 : 47,754 = 47,754 : x
  2. Step 2: Convert to fraction form
    32,064/47,754 = 47,754/x
  3. Step 3: Cross multiply
    32,064x = 47,754 × 47,754
  4. Step 4: Simplify right side
    32,064x = 2,280,444,516
  5. Step 5: Solve for x
    x = 2,280,444,516/32,064
  6. Step 6: Final answer
    x = 71,121.65

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Why These Related Problems?

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