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Finding the Third Proportional to 26,154 and 53,820

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Solution

The third proportional to 26,154 and 53,820 is: 110,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 53,820 = 53,820 : x
  2. Step 2: Convert to fraction form
    26,154/53,820 = 53,820/x
  3. Step 3: Cross multiply
    26,154x = 53,820 × 53,820
  4. Step 4: Simplify right side
    26,154x = 2,896,592,400
  5. Step 5: Solve for x
    x = 2,896,592,400/26,154
  6. Step 6: Final answer
    x = 110,751.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.