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Finding the Third Proportional to 36,423 and 79,465.50

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Solution

The third proportional to 36,423 and 79,465.50 is: 173,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,423 : 79,465.50 = 79,465.50 : x
  2. Step 2: Convert to fraction form
    36,423/79,465.50 = 79,465.50/x
  3. Step 3: Cross multiply
    36,423x = 79,465.50 × 79,465.50
  4. Step 4: Simplify right side
    36,423x = 6,314,765,690.25
  5. Step 5: Solve for x
    x = 6,314,765,690.25/36,423
  6. Step 6: Final answer
    x = 173,373.03

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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.