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Finding the Third Proportional to 39,178 and 58,594

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Solution

The third proportional to 39,178 and 58,594 is: 87,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 58,594 = 58,594 : x
  2. Step 2: Convert to fraction form
    39,178/58,594 = 58,594/x
  3. Step 3: Cross multiply
    39,178x = 58,594 × 58,594
  4. Step 4: Simplify right side
    39,178x = 3,433,256,836
  5. Step 5: Solve for x
    x = 3,433,256,836/39,178
  6. Step 6: Final answer
    x = 87,632.26

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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.