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Finding the Third Proportional to 24,184 and 37,369

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Solution

The third proportional to 24,184 and 37,369 is: 57,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184 : 37,369 = 37,369 : x
  2. Step 2: Convert to fraction form
    24,184/37,369 = 37,369/x
  3. Step 3: Cross multiply
    24,184x = 37,369 × 37,369
  4. Step 4: Simplify right side
    24,184x = 1,396,442,161
  5. Step 5: Solve for x
    x = 1,396,442,161/24,184
  6. Step 6: Final answer
    x = 57,742.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.