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Finding the Third Proportional to 16,470 and 36,039

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Solution

The third proportional to 16,470 and 36,039 is: 78,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 36,039 = 36,039 : x
  2. Step 2: Convert to fraction form
    16,470/36,039 = 36,039/x
  3. Step 3: Cross multiply
    16,470x = 36,039 × 36,039
  4. Step 4: Simplify right side
    16,470x = 1,298,809,521
  5. Step 5: Solve for x
    x = 1,298,809,521/16,470
  6. Step 6: Final answer
    x = 78,859.11

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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.