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Finding the Third Proportional to 16,254 and 39,069

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Solution

The third proportional to 16,254 and 39,069 is: 93,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 39,069 = 39,069 : x
  2. Step 2: Convert to fraction form
    16,254/39,069 = 39,069/x
  3. Step 3: Cross multiply
    16,254x = 39,069 × 39,069
  4. Step 4: Simplify right side
    16,254x = 1,526,386,761
  5. Step 5: Solve for x
    x = 1,526,386,761/16,254
  6. Step 6: Final answer
    x = 93,908.38

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.