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Finding the Third Proportional to 16,466 and 36,055

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Solution

The third proportional to 16,466 and 36,055 is: 78,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466 : 36,055 = 36,055 : x
  2. Step 2: Convert to fraction form
    16,466/36,055 = 36,055/x
  3. Step 3: Cross multiply
    16,466x = 36,055 × 36,055
  4. Step 4: Simplify right side
    16,466x = 1,299,963,025
  5. Step 5: Solve for x
    x = 1,299,963,025/16,466
  6. Step 6: Final answer
    x = 78,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.