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Finding the Third Proportional to 16,353 and 25,904.75

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Solution

The third proportional to 16,353 and 25,904.75 is: 41,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353 : 25,904.75 = 25,904.75 : x
  2. Step 2: Convert to fraction form
    16,353/25,904.75 = 25,904.75/x
  3. Step 3: Cross multiply
    16,353x = 25,904.75 × 25,904.75
  4. Step 4: Simplify right side
    16,353x = 671,056,072.56
  5. Step 5: Solve for x
    x = 671,056,072.56/16,353
  6. Step 6: Final answer
    x = 41,035.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.