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Finding the Third Proportional to 8,644 and 13,046

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Solution

The third proportional to 8,644 and 13,046 is: 19,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644 : 13,046 = 13,046 : x
  2. Step 2: Convert to fraction form
    8,644/13,046 = 13,046/x
  3. Step 3: Cross multiply
    8,644x = 13,046 × 13,046
  4. Step 4: Simplify right side
    8,644x = 170,198,116
  5. Step 5: Solve for x
    x = 170,198,116/8,644
  6. Step 6: Final answer
    x = 19,689.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.