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Finding the Third Proportional to 16,911 and 23,125.50

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Solution

The third proportional to 16,911 and 23,125.50 is: 31,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911 : 23,125.50 = 23,125.50 : x
  2. Step 2: Convert to fraction form
    16,911/23,125.50 = 23,125.50/x
  3. Step 3: Cross multiply
    16,911x = 23,125.50 × 23,125.50
  4. Step 4: Simplify right side
    16,911x = 534,788,750.25
  5. Step 5: Solve for x
    x = 534,788,750.25/16,911
  6. Step 6: Final answer
    x = 31,623.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.