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Finding the Third Proportional to 38,823 and 58,430

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Solution

The third proportional to 38,823 and 58,430 is: 87,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823 : 58,430 = 58,430 : x
  2. Step 2: Convert to fraction form
    38,823/58,430 = 58,430/x
  3. Step 3: Cross multiply
    38,823x = 58,430 × 58,430
  4. Step 4: Simplify right side
    38,823x = 3,414,064,900
  5. Step 5: Solve for x
    x = 3,414,064,900/38,823
  6. Step 6: Final answer
    x = 87,939.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.