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Finding the Third Proportional to 23,232 and 33,984

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Solution

The third proportional to 23,232 and 33,984 is: 49,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232 : 33,984 = 33,984 : x
  2. Step 2: Convert to fraction form
    23,232/33,984 = 33,984/x
  3. Step 3: Cross multiply
    23,232x = 33,984 × 33,984
  4. Step 4: Simplify right side
    23,232x = 1,154,912,256
  5. Step 5: Solve for x
    x = 1,154,912,256/23,232
  6. Step 6: Final answer
    x = 49,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.