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Finding the Third Proportional to 9,470.63 and 14,205.94

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Solution

The third proportional to 9,470.63 and 14,205.94 is: 21,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.63 : 14,205.94 = 14,205.94 : x
  2. Step 2: Convert to fraction form
    9,470.63/14,205.94 = 14,205.94/x
  3. Step 3: Cross multiply
    9,470.63x = 14,205.94 × 14,205.94
  4. Step 4: Simplify right side
    9,470.63x = 201,808,660.25
  5. Step 5: Solve for x
    x = 201,808,660.25/9,470.63
  6. Step 6: Final answer
    x = 21,308.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.