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Finding the Third Proportional to 10,920 and 14,764

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Solution

The third proportional to 10,920 and 14,764 is: 19,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 14,764 = 14,764 : x
  2. Step 2: Convert to fraction form
    10,920/14,764 = 14,764/x
  3. Step 3: Cross multiply
    10,920x = 14,764 × 14,764
  4. Step 4: Simplify right side
    10,920x = 217,975,696
  5. Step 5: Solve for x
    x = 217,975,696/10,920
  6. Step 6: Final answer
    x = 19,961.14

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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.