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Finding the Third Proportional to 16,547 and 38,771

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Solution

The third proportional to 16,547 and 38,771 is: 90,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547 : 38,771 = 38,771 : x
  2. Step 2: Convert to fraction form
    16,547/38,771 = 38,771/x
  3. Step 3: Cross multiply
    16,547x = 38,771 × 38,771
  4. Step 4: Simplify right side
    16,547x = 1,503,190,441
  5. Step 5: Solve for x
    x = 1,503,190,441/16,547
  6. Step 6: Final answer
    x = 90,843.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.