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Finding the Third Proportional to 13,164 and 21,048

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Solution

The third proportional to 13,164 and 21,048 is: 33,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 21,048 = 21,048 : x
  2. Step 2: Convert to fraction form
    13,164/21,048 = 21,048/x
  3. Step 3: Cross multiply
    13,164x = 21,048 × 21,048
  4. Step 4: Simplify right side
    13,164x = 443,018,304
  5. Step 5: Solve for x
    x = 443,018,304/13,164
  6. Step 6: Final answer
    x = 33,653.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.