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Finding the Third Proportional to 2,386 and 2,926

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Solution

The third proportional to 2,386 and 2,926 is: 3,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386 : 2,926 = 2,926 : x
  2. Step 2: Convert to fraction form
    2,386/2,926 = 2,926/x
  3. Step 3: Cross multiply
    2,386x = 2,926 × 2,926
  4. Step 4: Simplify right side
    2,386x = 8,561,476
  5. Step 5: Solve for x
    x = 8,561,476/2,386
  6. Step 6: Final answer
    x = 3,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.