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Finding the Third Proportional to 36,365 and 79,300

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Solution

The third proportional to 36,365 and 79,300 is: 172,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,365 : 79,300 = 79,300 : x
  2. Step 2: Convert to fraction form
    36,365/79,300 = 79,300/x
  3. Step 3: Cross multiply
    36,365x = 79,300 × 79,300
  4. Step 4: Simplify right side
    36,365x = 6,288,490,000
  5. Step 5: Solve for x
    x = 6,288,490,000/36,365
  6. Step 6: Final answer
    x = 172,926.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.