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Finding the Third Proportional to 5,726 and 8,346

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Solution

The third proportional to 5,726 and 8,346 is: 12,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 8,346 = 8,346 : x
  2. Step 2: Convert to fraction form
    5,726/8,346 = 8,346/x
  3. Step 3: Cross multiply
    5,726x = 8,346 × 8,346
  4. Step 4: Simplify right side
    5,726x = 69,655,716
  5. Step 5: Solve for x
    x = 69,655,716/5,726
  6. Step 6: Final answer
    x = 12,164.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.