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Finding the Third Proportional to 20,054 and 22,970

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Solution

The third proportional to 20,054 and 22,970 is: 26,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054 : 22,970 = 22,970 : x
  2. Step 2: Convert to fraction form
    20,054/22,970 = 22,970/x
  3. Step 3: Cross multiply
    20,054x = 22,970 × 22,970
  4. Step 4: Simplify right side
    20,054x = 527,620,900
  5. Step 5: Solve for x
    x = 527,620,900/20,054
  6. Step 6: Final answer
    x = 26,310.01

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.