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Finding the Third Proportional to 25,158 and 53,838.75

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Solution

The third proportional to 25,158 and 53,838.75 is: 115,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158 : 53,838.75 = 53,838.75 : x
  2. Step 2: Convert to fraction form
    25,158/53,838.75 = 53,838.75/x
  3. Step 3: Cross multiply
    25,158x = 53,838.75 × 53,838.75
  4. Step 4: Simplify right side
    25,158x = 2,898,611,001.56
  5. Step 5: Solve for x
    x = 2,898,611,001.56/25,158
  6. Step 6: Final answer
    x = 115,216.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.