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Finding the Third Proportional to 3,160 and 4,926

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Solution

The third proportional to 3,160 and 4,926 is: 7,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160 : 4,926 = 4,926 : x
  2. Step 2: Convert to fraction form
    3,160/4,926 = 4,926/x
  3. Step 3: Cross multiply
    3,160x = 4,926 × 4,926
  4. Step 4: Simplify right side
    3,160x = 24,265,476
  5. Step 5: Solve for x
    x = 24,265,476/3,160
  6. Step 6: Final answer
    x = 7,678.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.