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Finding the Third Proportional to 16,029 and 23,910.50

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Solution

The third proportional to 16,029 and 23,910.50 is: 35,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029 : 23,910.50 = 23,910.50 : x
  2. Step 2: Convert to fraction form
    16,029/23,910.50 = 23,910.50/x
  3. Step 3: Cross multiply
    16,029x = 23,910.50 × 23,910.50
  4. Step 4: Simplify right side
    16,029x = 571,712,010.25
  5. Step 5: Solve for x
    x = 571,712,010.25/16,029
  6. Step 6: Final answer
    x = 35,667.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.