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Finding the Third Proportional to 16,871 and 24,300

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Solution

The third proportional to 16,871 and 24,300 is: 35,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871 : 24,300 = 24,300 : x
  2. Step 2: Convert to fraction form
    16,871/24,300 = 24,300/x
  3. Step 3: Cross multiply
    16,871x = 24,300 × 24,300
  4. Step 4: Simplify right side
    16,871x = 590,490,000
  5. Step 5: Solve for x
    x = 590,490,000/16,871
  6. Step 6: Final answer
    x = 35,000.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.