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Finding the Third Proportional to 15,369.75 and 23,101.88

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Solution

The third proportional to 15,369.75 and 23,101.88 is: 34,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,369.75 : 23,101.88 = 23,101.88 : x
  2. Step 2: Convert to fraction form
    15,369.75/23,101.88 = 23,101.88/x
  3. Step 3: Cross multiply
    15,369.75x = 23,101.88 × 23,101.88
  4. Step 4: Simplify right side
    15,369.75x = 533,696,628.52
  5. Step 5: Solve for x
    x = 533,696,628.52/15,369.75
  6. Step 6: Final answer
    x = 34,723.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.