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Finding the Third Proportional to 32,945 and 48,013

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Solution

The third proportional to 32,945 and 48,013 is: 69,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945 : 48,013 = 48,013 : x
  2. Step 2: Convert to fraction form
    32,945/48,013 = 48,013/x
  3. Step 3: Cross multiply
    32,945x = 48,013 × 48,013
  4. Step 4: Simplify right side
    32,945x = 2,305,248,169
  5. Step 5: Solve for x
    x = 2,305,248,169/32,945
  6. Step 6: Final answer
    x = 69,972.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.