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Finding the Third Proportional to 32,478 and 44,013

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Solution

The third proportional to 32,478 and 44,013 is: 59,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 44,013 = 44,013 : x
  2. Step 2: Convert to fraction form
    32,478/44,013 = 44,013/x
  3. Step 3: Cross multiply
    32,478x = 44,013 × 44,013
  4. Step 4: Simplify right side
    32,478x = 1,937,144,169
  5. Step 5: Solve for x
    x = 1,937,144,169/32,478
  6. Step 6: Final answer
    x = 59,644.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.