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Finding the Third Proportional to 15,318 and 24,072.75

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Solution

The third proportional to 15,318 and 24,072.75 is: 37,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318 : 24,072.75 = 24,072.75 : x
  2. Step 2: Convert to fraction form
    15,318/24,072.75 = 24,072.75/x
  3. Step 3: Cross multiply
    15,318x = 24,072.75 × 24,072.75
  4. Step 4: Simplify right side
    15,318x = 579,497,292.56
  5. Step 5: Solve for x
    x = 579,497,292.56/15,318
  6. Step 6: Final answer
    x = 37,831.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.