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Finding the Third Proportional to 38,813 and 58,412

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Solution

The third proportional to 38,813 and 58,412 is: 87,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813 : 58,412 = 58,412 : x
  2. Step 2: Convert to fraction form
    38,813/58,412 = 58,412/x
  3. Step 3: Cross multiply
    38,813x = 58,412 × 58,412
  4. Step 4: Simplify right side
    38,813x = 3,411,961,744
  5. Step 5: Solve for x
    x = 3,411,961,744/38,813
  6. Step 6: Final answer
    x = 87,907.70

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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.