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Finding the Third Proportional to 16,347 and 23,020.50

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Solution

The third proportional to 16,347 and 23,020.50 is: 32,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 23,020.50 = 23,020.50 : x
  2. Step 2: Convert to fraction form
    16,347/23,020.50 = 23,020.50/x
  3. Step 3: Cross multiply
    16,347x = 23,020.50 × 23,020.50
  4. Step 4: Simplify right side
    16,347x = 529,943,420.25
  5. Step 5: Solve for x
    x = 529,943,420.25/16,347
  6. Step 6: Final answer
    x = 32,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.