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Finding the Third Proportional to 23,770 and 52,260

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Solution

The third proportional to 23,770 and 52,260 is: 114,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770 : 52,260 = 52,260 : x
  2. Step 2: Convert to fraction form
    23,770/52,260 = 52,260/x
  3. Step 3: Cross multiply
    23,770x = 52,260 × 52,260
  4. Step 4: Simplify right side
    23,770x = 2,731,107,600
  5. Step 5: Solve for x
    x = 2,731,107,600/23,770
  6. Step 6: Final answer
    x = 114,897.25

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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.