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Finding the Third Proportional to 13,164 and 28,920

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Solution

The third proportional to 13,164 and 28,920 is: 63,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 28,920 = 28,920 : x
  2. Step 2: Convert to fraction form
    13,164/28,920 = 28,920/x
  3. Step 3: Cross multiply
    13,164x = 28,920 × 28,920
  4. Step 4: Simplify right side
    13,164x = 836,366,400
  5. Step 5: Solve for x
    x = 836,366,400/13,164
  6. Step 6: Final answer
    x = 63,534.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.