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Finding the Third Proportional to 9,470.25 and 19,938.94

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Solution

The third proportional to 9,470.25 and 19,938.94 is: 41,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 19,938.94 = 19,938.94 : x
  2. Step 2: Convert to fraction form
    9,470.25/19,938.94 = 19,938.94/x
  3. Step 3: Cross multiply
    9,470.25x = 19,938.94 × 19,938.94
  4. Step 4: Simplify right side
    9,470.25x = 397,561,228.63
  5. Step 5: Solve for x
    x = 397,561,228.63/9,470.25
  6. Step 6: Final answer
    x = 41,980.01

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.