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Finding the Third Proportional to 16,043 and 23,335

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Solution

The third proportional to 16,043 and 23,335 is: 33,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043 : 23,335 = 23,335 : x
  2. Step 2: Convert to fraction form
    16,043/23,335 = 23,335/x
  3. Step 3: Cross multiply
    16,043x = 23,335 × 23,335
  4. Step 4: Simplify right side
    16,043x = 544,522,225
  5. Step 5: Solve for x
    x = 544,522,225/16,043
  6. Step 6: Final answer
    x = 33,941.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.