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Finding the Third Proportional to 7,077 and 15,243

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Solution

The third proportional to 7,077 and 15,243 is: 32,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 15,243 = 15,243 : x
  2. Step 2: Convert to fraction form
    7,077/15,243 = 15,243/x
  3. Step 3: Cross multiply
    7,077x = 15,243 × 15,243
  4. Step 4: Simplify right side
    7,077x = 232,349,049
  5. Step 5: Solve for x
    x = 232,349,049/7,077
  6. Step 6: Final answer
    x = 32,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.