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Finding the Third Proportional to 6,195.94 and 8,875.13

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Solution

The third proportional to 6,195.94 and 8,875.13 is: 12,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.94 : 8,875.13 = 8,875.13 : x
  2. Step 2: Convert to fraction form
    6,195.94/8,875.13 = 8,875.13/x
  3. Step 3: Cross multiply
    6,195.94x = 8,875.13 × 8,875.13
  4. Step 4: Simplify right side
    6,195.94x = 78,767,843.77
  5. Step 5: Solve for x
    x = 78,767,843.77/6,195.94
  6. Step 6: Final answer
    x = 12,712.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.