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Finding the Third Proportional to 26,000 and 53,230

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Solution

The third proportional to 26,000 and 53,230 is: 108,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 53,230 = 53,230 : x
  2. Step 2: Convert to fraction form
    26,000/53,230 = 53,230/x
  3. Step 3: Cross multiply
    26,000x = 53,230 × 53,230
  4. Step 4: Simplify right side
    26,000x = 2,833,432,900
  5. Step 5: Solve for x
    x = 2,833,432,900/26,000
  6. Step 6: Final answer
    x = 108,978.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.