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Finding the Third Proportional to 6,573.66 and 8,856.84

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Solution

The third proportional to 6,573.66 and 8,856.84 is: 11,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.66 : 8,856.84 = 8,856.84 : x
  2. Step 2: Convert to fraction form
    6,573.66/8,856.84 = 8,856.84/x
  3. Step 3: Cross multiply
    6,573.66x = 8,856.84 × 8,856.84
  4. Step 4: Simplify right side
    6,573.66x = 78,443,681.21
  5. Step 5: Solve for x
    x = 78,443,681.21/6,573.66
  6. Step 6: Final answer
    x = 11,933.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.