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Finding the Third Proportional to 15,281 and 23,375.56

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Solution

The third proportional to 15,281 and 23,375.56 is: 35,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281 : 23,375.56 = 23,375.56 : x
  2. Step 2: Convert to fraction form
    15,281/23,375.56 = 23,375.56/x
  3. Step 3: Cross multiply
    15,281x = 23,375.56 × 23,375.56
  4. Step 4: Simplify right side
    15,281x = 546,416,922.19
  5. Step 5: Solve for x
    x = 546,416,922.19/15,281
  6. Step 6: Final answer
    x = 35,757.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.