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Finding the Third Proportional to 15,700.50 and 23,562.56

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Solution

The third proportional to 15,700.50 and 23,562.56 is: 35,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.50 : 23,562.56 = 23,562.56 : x
  2. Step 2: Convert to fraction form
    15,700.50/23,562.56 = 23,562.56/x
  3. Step 3: Cross multiply
    15,700.50x = 23,562.56 × 23,562.56
  4. Step 4: Simplify right side
    15,700.50x = 555,194,351.57
  5. Step 5: Solve for x
    x = 555,194,351.57/15,700.50
  6. Step 6: Final answer
    x = 35,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.