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Finding the Third Proportional to 10,285.03 and 15,975.56

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Solution

The third proportional to 10,285.03 and 15,975.56 is: 24,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.03 : 15,975.56 = 15,975.56 : x
  2. Step 2: Convert to fraction form
    10,285.03/15,975.56 = 15,975.56/x
  3. Step 3: Cross multiply
    10,285.03x = 15,975.56 × 15,975.56
  4. Step 4: Simplify right side
    10,285.03x = 255,218,597.19
  5. Step 5: Solve for x
    x = 255,218,597.19/10,285.03
  6. Step 6: Final answer
    x = 24,814.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.