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Finding the Third Proportional to 30,184 and 44,351

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Solution

The third proportional to 30,184 and 44,351 is: 65,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184 : 44,351 = 44,351 : x
  2. Step 2: Convert to fraction form
    30,184/44,351 = 44,351/x
  3. Step 3: Cross multiply
    30,184x = 44,351 × 44,351
  4. Step 4: Simplify right side
    30,184x = 1,967,011,201
  5. Step 5: Solve for x
    x = 1,967,011,201/30,184
  6. Step 6: Final answer
    x = 65,167.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.