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Finding the Third Proportional to 5,156.06 and 8,042.06

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Solution

The third proportional to 5,156.06 and 8,042.06 is: 12,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.06 : 8,042.06 = 8,042.06 : x
  2. Step 2: Convert to fraction form
    5,156.06/8,042.06 = 8,042.06/x
  3. Step 3: Cross multiply
    5,156.06x = 8,042.06 × 8,042.06
  4. Step 4: Simplify right side
    5,156.06x = 64,674,769.25
  5. Step 5: Solve for x
    x = 64,674,769.25/5,156.06
  6. Step 6: Final answer
    x = 12,543.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.