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Finding the Third Proportional to 36,336 and 77,069.63

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Solution

The third proportional to 36,336 and 77,069.63 is: 163,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,336 : 77,069.63 = 77,069.63 : x
  2. Step 2: Convert to fraction form
    36,336/77,069.63 = 77,069.63/x
  3. Step 3: Cross multiply
    36,336x = 77,069.63 × 77,069.63
  4. Step 4: Simplify right side
    36,336x = 5,939,727,097.64
  5. Step 5: Solve for x
    x = 5,939,727,097.64/36,336
  6. Step 6: Final answer
    x = 163,466.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.