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Finding the Third Proportional to 32,944 and 49,706

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Solution

The third proportional to 32,944 and 49,706 is: 74,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944 : 49,706 = 49,706 : x
  2. Step 2: Convert to fraction form
    32,944/49,706 = 49,706/x
  3. Step 3: Cross multiply
    32,944x = 49,706 × 49,706
  4. Step 4: Simplify right side
    32,944x = 2,470,686,436
  5. Step 5: Solve for x
    x = 2,470,686,436/32,944
  6. Step 6: Final answer
    x = 74,996.55

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Why These Related Problems?

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