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Finding the Third Proportional to 32,972 and 49,084

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Solution

The third proportional to 32,972 and 49,084 is: 73,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 49,084 = 49,084 : x
  2. Step 2: Convert to fraction form
    32,972/49,084 = 49,084/x
  3. Step 3: Cross multiply
    32,972x = 49,084 × 49,084
  4. Step 4: Simplify right side
    32,972x = 2,409,239,056
  5. Step 5: Solve for x
    x = 2,409,239,056/32,972
  6. Step 6: Final answer
    x = 73,069.24

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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.