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Finding the Third Proportional to 36,400.50 and 79,209

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Solution

The third proportional to 36,400.50 and 79,209 is: 172,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.50 : 79,209 = 79,209 : x
  2. Step 2: Convert to fraction form
    36,400.50/79,209 = 79,209/x
  3. Step 3: Cross multiply
    36,400.50x = 79,209 × 79,209
  4. Step 4: Simplify right side
    36,400.50x = 6,274,065,681
  5. Step 5: Solve for x
    x = 6,274,065,681/36,400.50
  6. Step 6: Final answer
    x = 172,362.07

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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.