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Finding the Third Proportional to 7,096 and 15,392

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Solution

The third proportional to 7,096 and 15,392 is: 33,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 15,392 = 15,392 : x
  2. Step 2: Convert to fraction form
    7,096/15,392 = 15,392/x
  3. Step 3: Cross multiply
    7,096x = 15,392 × 15,392
  4. Step 4: Simplify right side
    7,096x = 236,913,664
  5. Step 5: Solve for x
    x = 236,913,664/7,096
  6. Step 6: Final answer
    x = 33,386.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.