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Finding the Third Proportional to 5,386 and 8,106

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Solution

The third proportional to 5,386 and 8,106 is: 12,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386 : 8,106 = 8,106 : x
  2. Step 2: Convert to fraction form
    5,386/8,106 = 8,106/x
  3. Step 3: Cross multiply
    5,386x = 8,106 × 8,106
  4. Step 4: Simplify right side
    5,386x = 65,707,236
  5. Step 5: Solve for x
    x = 65,707,236/5,386
  6. Step 6: Final answer
    x = 12,199.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.