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Finding the Third Proportional to 15,318 and 24,369.75

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Solution

The third proportional to 15,318 and 24,369.75 is: 38,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318 : 24,369.75 = 24,369.75 : x
  2. Step 2: Convert to fraction form
    15,318/24,369.75 = 24,369.75/x
  3. Step 3: Cross multiply
    15,318x = 24,369.75 × 24,369.75
  4. Step 4: Simplify right side
    15,318x = 593,884,715.06
  5. Step 5: Solve for x
    x = 593,884,715.06/15,318
  6. Step 6: Final answer
    x = 38,770.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.