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Finding the Third Proportional to 24,712 and 35,388

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Solution

The third proportional to 24,712 and 35,388 is: 50,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 35,388 = 35,388 : x
  2. Step 2: Convert to fraction form
    24,712/35,388 = 35,388/x
  3. Step 3: Cross multiply
    24,712x = 35,388 × 35,388
  4. Step 4: Simplify right side
    24,712x = 1,252,310,544
  5. Step 5: Solve for x
    x = 1,252,310,544/24,712
  6. Step 6: Final answer
    x = 50,676.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.