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Finding the Third Proportional to 24,871 and 35,412

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Solution

The third proportional to 24,871 and 35,412 is: 50,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871 : 35,412 = 35,412 : x
  2. Step 2: Convert to fraction form
    24,871/35,412 = 35,412/x
  3. Step 3: Cross multiply
    24,871x = 35,412 × 35,412
  4. Step 4: Simplify right side
    24,871x = 1,254,009,744
  5. Step 5: Solve for x
    x = 1,254,009,744/24,871
  6. Step 6: Final answer
    x = 50,420.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.