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Finding the Third Proportional to 6,512.06 and 10,089.84

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Solution

The third proportional to 6,512.06 and 10,089.84 is: 15,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.06 : 10,089.84 = 10,089.84 : x
  2. Step 2: Convert to fraction form
    6,512.06/10,089.84 = 10,089.84/x
  3. Step 3: Cross multiply
    6,512.06x = 10,089.84 × 10,089.84
  4. Step 4: Simplify right side
    6,512.06x = 101,804,946.90
  5. Step 5: Solve for x
    x = 101,804,946.90/6,512.06
  6. Step 6: Final answer
    x = 15,633.29

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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.