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Finding the Third Proportional to 39,040 and 58,454

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Solution

The third proportional to 39,040 and 58,454 is: 87,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,040 : 58,454 = 58,454 : x
  2. Step 2: Convert to fraction form
    39,040/58,454 = 58,454/x
  3. Step 3: Cross multiply
    39,040x = 58,454 × 58,454
  4. Step 4: Simplify right side
    39,040x = 3,416,870,116
  5. Step 5: Solve for x
    x = 3,416,870,116/39,040
  6. Step 6: Final answer
    x = 87,522.29

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