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Finding the Third Proportional to 39,626 and 58,784

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Solution

The third proportional to 39,626 and 58,784 is: 87,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,626 : 58,784 = 58,784 : x
  2. Step 2: Convert to fraction form
    39,626/58,784 = 58,784/x
  3. Step 3: Cross multiply
    39,626x = 58,784 × 58,784
  4. Step 4: Simplify right side
    39,626x = 3,455,558,656
  5. Step 5: Solve for x
    x = 3,455,558,656/39,626
  6. Step 6: Final answer
    x = 87,204.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.