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Finding the Third Proportional to 26,925 and 39,523.50

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Solution

The third proportional to 26,925 and 39,523.50 is: 58,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,925 : 39,523.50 = 39,523.50 : x
  2. Step 2: Convert to fraction form
    26,925/39,523.50 = 39,523.50/x
  3. Step 3: Cross multiply
    26,925x = 39,523.50 × 39,523.50
  4. Step 4: Simplify right side
    26,925x = 1,562,107,052.25
  5. Step 5: Solve for x
    x = 1,562,107,052.25/26,925
  6. Step 6: Final answer
    x = 58,016.98

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Why These Related Problems?

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