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Finding the Third Proportional to 9,201.94 and 14,594.06

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Solution

The third proportional to 9,201.94 and 14,594.06 is: 23,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.94 : 14,594.06 = 14,594.06 : x
  2. Step 2: Convert to fraction form
    9,201.94/14,594.06 = 14,594.06/x
  3. Step 3: Cross multiply
    9,201.94x = 14,594.06 × 14,594.06
  4. Step 4: Simplify right side
    9,201.94x = 212,986,660.25
  5. Step 5: Solve for x
    x = 212,986,660.25/9,201.94
  6. Step 6: Final answer
    x = 23,145.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.