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Finding the Third Proportional to 32,284 and 69,664

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Solution

The third proportional to 32,284 and 69,664 is: 150,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284 : 69,664 = 69,664 : x
  2. Step 2: Convert to fraction form
    32,284/69,664 = 69,664/x
  3. Step 3: Cross multiply
    32,284x = 69,664 × 69,664
  4. Step 4: Simplify right side
    32,284x = 4,853,072,896
  5. Step 5: Solve for x
    x = 4,853,072,896/32,284
  6. Step 6: Final answer
    x = 150,324.40

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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.