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Finding the Third Proportional to 6,520 and 8,646

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Solution

The third proportional to 6,520 and 8,646 is: 11,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520 : 8,646 = 8,646 : x
  2. Step 2: Convert to fraction form
    6,520/8,646 = 8,646/x
  3. Step 3: Cross multiply
    6,520x = 8,646 × 8,646
  4. Step 4: Simplify right side
    6,520x = 74,753,316
  5. Step 5: Solve for x
    x = 74,753,316/6,520
  6. Step 6: Final answer
    x = 11,465.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.