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Finding the Third Proportional to 25,235 and 53,083

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Solution

The third proportional to 25,235 and 53,083 is: 111,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235 : 53,083 = 53,083 : x
  2. Step 2: Convert to fraction form
    25,235/53,083 = 53,083/x
  3. Step 3: Cross multiply
    25,235x = 53,083 × 53,083
  4. Step 4: Simplify right side
    25,235x = 2,817,804,889
  5. Step 5: Solve for x
    x = 2,817,804,889/25,235
  6. Step 6: Final answer
    x = 111,662.57

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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.