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Finding the Third Proportional to 5,276.35 and 8,476.76

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Solution

The third proportional to 5,276.35 and 8,476.76 is: 13,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.35 : 8,476.76 = 8,476.76 : x
  2. Step 2: Convert to fraction form
    5,276.35/8,476.76 = 8,476.76/x
  3. Step 3: Cross multiply
    5,276.35x = 8,476.76 × 8,476.76
  4. Step 4: Simplify right side
    5,276.35x = 71,855,472.68
  5. Step 5: Solve for x
    x = 71,855,472.68/5,276.35
  6. Step 6: Final answer
    x = 13,618.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.