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Finding the Third Proportional to 25,647 and 38,813

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Solution

The third proportional to 25,647 and 38,813 is: 58,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647 : 38,813 = 38,813 : x
  2. Step 2: Convert to fraction form
    25,647/38,813 = 38,813/x
  3. Step 3: Cross multiply
    25,647x = 38,813 × 38,813
  4. Step 4: Simplify right side
    25,647x = 1,506,448,969
  5. Step 5: Solve for x
    x = 1,506,448,969/25,647
  6. Step 6: Final answer
    x = 58,737.82

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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.