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Finding the Third Proportional to 32,440 and 69,944

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Solution

The third proportional to 32,440 and 69,944 is: 150,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440 : 69,944 = 69,944 : x
  2. Step 2: Convert to fraction form
    32,440/69,944 = 69,944/x
  3. Step 3: Cross multiply
    32,440x = 69,944 × 69,944
  4. Step 4: Simplify right side
    32,440x = 4,892,163,136
  5. Step 5: Solve for x
    x = 4,892,163,136/32,440
  6. Step 6: Final answer
    x = 150,806.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.