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Finding the Third Proportional to 25,234.50 and 53,085

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Solution

The third proportional to 25,234.50 and 53,085 is: 111,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.50 : 53,085 = 53,085 : x
  2. Step 2: Convert to fraction form
    25,234.50/53,085 = 53,085/x
  3. Step 3: Cross multiply
    25,234.50x = 53,085 × 53,085
  4. Step 4: Simplify right side
    25,234.50x = 2,818,017,225
  5. Step 5: Solve for x
    x = 2,818,017,225/25,234.50
  6. Step 6: Final answer
    x = 111,673.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.