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Finding the Third Proportional to 33,332 and 70,984

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Solution

The third proportional to 33,332 and 70,984 is: 151,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,332 : 70,984 = 70,984 : x
  2. Step 2: Convert to fraction form
    33,332/70,984 = 70,984/x
  3. Step 3: Cross multiply
    33,332x = 70,984 × 70,984
  4. Step 4: Simplify right side
    33,332x = 5,038,728,256
  5. Step 5: Solve for x
    x = 5,038,728,256/33,332
  6. Step 6: Final answer
    x = 151,167.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.