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Finding the Third Proportional to 23,355 and 47,801.25

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Solution

The third proportional to 23,355 and 47,801.25 is: 97,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 47,801.25 = 47,801.25 : x
  2. Step 2: Convert to fraction form
    23,355/47,801.25 = 47,801.25/x
  3. Step 3: Cross multiply
    23,355x = 47,801.25 × 47,801.25
  4. Step 4: Simplify right side
    23,355x = 2,284,959,501.56
  5. Step 5: Solve for x
    x = 2,284,959,501.56/23,355
  6. Step 6: Final answer
    x = 97,835.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.