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Finding the Third Proportional to 5,225.88 and 8,095.13

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Solution

The third proportional to 5,225.88 and 8,095.13 is: 12,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.88 : 8,095.13 = 8,095.13 : x
  2. Step 2: Convert to fraction form
    5,225.88/8,095.13 = 8,095.13/x
  3. Step 3: Cross multiply
    5,225.88x = 8,095.13 × 8,095.13
  4. Step 4: Simplify right side
    5,225.88x = 65,531,048.77
  5. Step 5: Solve for x
    x = 65,531,048.77/5,225.88
  6. Step 6: Final answer
    x = 12,539.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.