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Finding the Third Proportional to 9,205.31 and 14,201.16

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Solution

The third proportional to 9,205.31 and 14,201.16 is: 21,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.31 : 14,201.16 = 14,201.16 : x
  2. Step 2: Convert to fraction form
    9,205.31/14,201.16 = 14,201.16/x
  3. Step 3: Cross multiply
    9,205.31x = 14,201.16 × 14,201.16
  4. Step 4: Simplify right side
    9,205.31x = 201,672,838.84
  5. Step 5: Solve for x
    x = 201,672,838.84/9,205.31
  6. Step 6: Final answer
    x = 21,908.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.