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Finding the Third Proportional to 3,196 and 5,792

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Solution

The third proportional to 3,196 and 5,792 is: 10,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196 : 5,792 = 5,792 : x
  2. Step 2: Convert to fraction form
    3,196/5,792 = 5,792/x
  3. Step 3: Cross multiply
    3,196x = 5,792 × 5,792
  4. Step 4: Simplify right side
    3,196x = 33,547,264
  5. Step 5: Solve for x
    x = 33,547,264/3,196
  6. Step 6: Final answer
    x = 10,496.64

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.