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Finding the Third Proportional to 2,232 and 5,157

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Solution

The third proportional to 2,232 and 5,157 is: 11,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232 : 5,157 = 5,157 : x
  2. Step 2: Convert to fraction form
    2,232/5,157 = 5,157/x
  3. Step 3: Cross multiply
    2,232x = 5,157 × 5,157
  4. Step 4: Simplify right side
    2,232x = 26,594,649
  5. Step 5: Solve for x
    x = 26,594,649/2,232
  6. Step 6: Final answer
    x = 11,915.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.