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Finding the Third Proportional to 33,693.47 and 72,307.69

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Solution

The third proportional to 33,693.47 and 72,307.69 is: 155,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693.47 : 72,307.69 = 72,307.69 : x
  2. Step 2: Convert to fraction form
    33,693.47/72,307.69 = 72,307.69/x
  3. Step 3: Cross multiply
    33,693.47x = 72,307.69 × 72,307.69
  4. Step 4: Simplify right side
    33,693.47x = 5,228,401,671.60
  5. Step 5: Solve for x
    x = 5,228,401,671.60/33,693.47
  6. Step 6: Final answer
    x = 155,175.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.