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Finding the Third Proportional to 9,816.19 and 17,703.56

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Solution

The third proportional to 9,816.19 and 17,703.56 is: 31,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.19 : 17,703.56 = 17,703.56 : x
  2. Step 2: Convert to fraction form
    9,816.19/17,703.56 = 17,703.56/x
  3. Step 3: Cross multiply
    9,816.19x = 17,703.56 × 17,703.56
  4. Step 4: Simplify right side
    9,816.19x = 313,416,125.19
  5. Step 5: Solve for x
    x = 313,416,125.19/9,816.19
  6. Step 6: Final answer
    x = 31,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.