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Finding the Third Proportional to 15,384.94 and 23,164.73

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Solution

The third proportional to 15,384.94 and 23,164.73 is: 34,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 23,164.73 = 23,164.73 : x
  2. Step 2: Convert to fraction form
    15,384.94/23,164.73 = 23,164.73/x
  3. Step 3: Cross multiply
    15,384.94x = 23,164.73 × 23,164.73
  4. Step 4: Simplify right side
    15,384.94x = 536,604,918.66
  5. Step 5: Solve for x
    x = 536,604,918.66/15,384.94
  6. Step 6: Final answer
    x = 34,878.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.