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Finding the Third Proportional to 18,699 and 40,369

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Solution

The third proportional to 18,699 and 40,369 is: 87,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,699 : 40,369 = 40,369 : x
  2. Step 2: Convert to fraction form
    18,699/40,369 = 40,369/x
  3. Step 3: Cross multiply
    18,699x = 40,369 × 40,369
  4. Step 4: Simplify right side
    18,699x = 1,629,656,161
  5. Step 5: Solve for x
    x = 1,629,656,161/18,699
  6. Step 6: Final answer
    x = 87,152.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.