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Finding the Third Proportional to 6,570 and 8,865

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Solution

The third proportional to 6,570 and 8,865 is: 11,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570 : 8,865 = 8,865 : x
  2. Step 2: Convert to fraction form
    6,570/8,865 = 8,865/x
  3. Step 3: Cross multiply
    6,570x = 8,865 × 8,865
  4. Step 4: Simplify right side
    6,570x = 78,588,225
  5. Step 5: Solve for x
    x = 78,588,225/6,570
  6. Step 6: Final answer
    x = 11,961.68

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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.