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Finding the Third Proportional to 16,547 and 36,367

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Solution

The third proportional to 16,547 and 36,367 is: 79,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547 : 36,367 = 36,367 : x
  2. Step 2: Convert to fraction form
    16,547/36,367 = 36,367/x
  3. Step 3: Cross multiply
    16,547x = 36,367 × 36,367
  4. Step 4: Simplify right side
    16,547x = 1,322,558,689
  5. Step 5: Solve for x
    x = 1,322,558,689/16,547
  6. Step 6: Final answer
    x = 79,927.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.