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Finding the Third Proportional to 45,322 and 65,512

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Solution

The third proportional to 45,322 and 65,512 is: 94,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 65,512 = 65,512 : x
  2. Step 2: Convert to fraction form
    45,322/65,512 = 65,512/x
  3. Step 3: Cross multiply
    45,322x = 65,512 × 65,512
  4. Step 4: Simplify right side
    45,322x = 4,291,822,144
  5. Step 5: Solve for x
    x = 4,291,822,144/45,322
  6. Step 6: Final answer
    x = 94,696.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.