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Finding the Third Proportional to 7,196 and 15,323

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Solution

The third proportional to 7,196 and 15,323 is: 32,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 15,323 = 15,323 : x
  2. Step 2: Convert to fraction form
    7,196/15,323 = 15,323/x
  3. Step 3: Cross multiply
    7,196x = 15,323 × 15,323
  4. Step 4: Simplify right side
    7,196x = 234,794,329
  5. Step 5: Solve for x
    x = 234,794,329/7,196
  6. Step 6: Final answer
    x = 32,628.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.