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Finding the Third Proportional to 5,156.44 and 10,586.25

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Solution

The third proportional to 5,156.44 and 10,586.25 is: 21,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.44 : 10,586.25 = 10,586.25 : x
  2. Step 2: Convert to fraction form
    5,156.44/10,586.25 = 10,586.25/x
  3. Step 3: Cross multiply
    5,156.44x = 10,586.25 × 10,586.25
  4. Step 4: Simplify right side
    5,156.44x = 112,068,689.06
  5. Step 5: Solve for x
    x = 112,068,689.06/5,156.44
  6. Step 6: Final answer
    x = 21,733.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.