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Finding the Third Proportional to 26,076 and 50,820

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Solution

The third proportional to 26,076 and 50,820 is: 99,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076 : 50,820 = 50,820 : x
  2. Step 2: Convert to fraction form
    26,076/50,820 = 50,820/x
  3. Step 3: Cross multiply
    26,076x = 50,820 × 50,820
  4. Step 4: Simplify right side
    26,076x = 2,582,672,400
  5. Step 5: Solve for x
    x = 2,582,672,400/26,076
  6. Step 6: Final answer
    x = 99,044.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.