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Finding the Third Proportional to 9,129.50 and 19,436.06

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Solution

The third proportional to 9,129.50 and 19,436.06 is: 41,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.50 : 19,436.06 = 19,436.06 : x
  2. Step 2: Convert to fraction form
    9,129.50/19,436.06 = 19,436.06/x
  3. Step 3: Cross multiply
    9,129.50x = 19,436.06 × 19,436.06
  4. Step 4: Simplify right side
    9,129.50x = 377,760,525.50
  5. Step 5: Solve for x
    x = 377,760,525.50/9,129.50
  6. Step 6: Final answer
    x = 41,378.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.