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Finding the Third Proportional to 23,157 and 32,789.25

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Solution

The third proportional to 23,157 and 32,789.25 is: 46,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 32,789.25 = 32,789.25 : x
  2. Step 2: Convert to fraction form
    23,157/32,789.25 = 32,789.25/x
  3. Step 3: Cross multiply
    23,157x = 32,789.25 × 32,789.25
  4. Step 4: Simplify right side
    23,157x = 1,075,134,915.56
  5. Step 5: Solve for x
    x = 1,075,134,915.56/23,157
  6. Step 6: Final answer
    x = 46,428.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.