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Finding the Third Proportional to 32,884 and 71,303

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Solution

The third proportional to 32,884 and 71,303 is: 154,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884 : 71,303 = 71,303 : x
  2. Step 2: Convert to fraction form
    32,884/71,303 = 71,303/x
  3. Step 3: Cross multiply
    32,884x = 71,303 × 71,303
  4. Step 4: Simplify right side
    32,884x = 5,084,117,809
  5. Step 5: Solve for x
    x = 5,084,117,809/32,884
  6. Step 6: Final answer
    x = 154,607.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.