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Finding the Third Proportional to 24,998.63 and 53,237.25

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Solution

The third proportional to 24,998.63 and 53,237.25 is: 113,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998.63 : 53,237.25 = 53,237.25 : x
  2. Step 2: Convert to fraction form
    24,998.63/53,237.25 = 53,237.25/x
  3. Step 3: Cross multiply
    24,998.63x = 53,237.25 × 53,237.25
  4. Step 4: Simplify right side
    24,998.63x = 2,834,204,787.56
  5. Step 5: Solve for x
    x = 2,834,204,787.56/24,998.63
  6. Step 6: Final answer
    x = 113,374.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.