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Finding the Third Proportional to 24,820 and 34,719

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Solution

The third proportional to 24,820 and 34,719 is: 48,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 34,719 = 34,719 : x
  2. Step 2: Convert to fraction form
    24,820/34,719 = 34,719/x
  3. Step 3: Cross multiply
    24,820x = 34,719 × 34,719
  4. Step 4: Simplify right side
    24,820x = 1,205,408,961
  5. Step 5: Solve for x
    x = 1,205,408,961/24,820
  6. Step 6: Final answer
    x = 48,566.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.