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Finding the Third Proportional to 39,119 and 58,865

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Solution

The third proportional to 39,119 and 58,865 is: 88,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,119 : 58,865 = 58,865 : x
  2. Step 2: Convert to fraction form
    39,119/58,865 = 58,865/x
  3. Step 3: Cross multiply
    39,119x = 58,865 × 58,865
  4. Step 4: Simplify right side
    39,119x = 3,465,088,225
  5. Step 5: Solve for x
    x = 3,465,088,225/39,119
  6. Step 6: Final answer
    x = 88,578.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.