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Finding the Third Proportional to 16,584 and 36,053

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Solution

The third proportional to 16,584 and 36,053 is: 78,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 36,053 = 36,053 : x
  2. Step 2: Convert to fraction form
    16,584/36,053 = 36,053/x
  3. Step 3: Cross multiply
    16,584x = 36,053 × 36,053
  4. Step 4: Simplify right side
    16,584x = 1,299,818,809
  5. Step 5: Solve for x
    x = 1,299,818,809/16,584
  6. Step 6: Final answer
    x = 78,377.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.