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Finding the Third Proportional to 9,525.94 and 16,804.13

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Solution

The third proportional to 9,525.94 and 16,804.13 is: 29,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.94 : 16,804.13 = 16,804.13 : x
  2. Step 2: Convert to fraction form
    9,525.94/16,804.13 = 16,804.13/x
  3. Step 3: Cross multiply
    9,525.94x = 16,804.13 × 16,804.13
  4. Step 4: Simplify right side
    9,525.94x = 282,378,617.02
  5. Step 5: Solve for x
    x = 282,378,617.02/9,525.94
  6. Step 6: Final answer
    x = 29,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.