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Finding the Third Proportional to 38,813 and 58,523

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Solution

The third proportional to 38,813 and 58,523 is: 88,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813 : 58,523 = 58,523 : x
  2. Step 2: Convert to fraction form
    38,813/58,523 = 58,523/x
  3. Step 3: Cross multiply
    38,813x = 58,523 × 58,523
  4. Step 4: Simplify right side
    38,813x = 3,424,941,529
  5. Step 5: Solve for x
    x = 3,424,941,529/38,813
  6. Step 6: Final answer
    x = 88,242.12

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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.