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Finding the Third Proportional to 30,792.66 and 50,923.69

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Solution

The third proportional to 30,792.66 and 50,923.69 is: 84,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.66 : 50,923.69 = 50,923.69 : x
  2. Step 2: Convert to fraction form
    30,792.66/50,923.69 = 50,923.69/x
  3. Step 3: Cross multiply
    30,792.66x = 50,923.69 × 50,923.69
  4. Step 4: Simplify right side
    30,792.66x = 2,593,221,948.60
  5. Step 5: Solve for x
    x = 2,593,221,948.60/30,792.66
  6. Step 6: Final answer
    x = 84,215.60

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.