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Finding the Third Proportional to 39,658 and 58,390

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Solution

The third proportional to 39,658 and 58,390 is: 85,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658 : 58,390 = 58,390 : x
  2. Step 2: Convert to fraction form
    39,658/58,390 = 58,390/x
  3. Step 3: Cross multiply
    39,658x = 58,390 × 58,390
  4. Step 4: Simplify right side
    39,658x = 3,409,392,100
  5. Step 5: Solve for x
    x = 3,409,392,100/39,658
  6. Step 6: Final answer
    x = 85,969.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.