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Finding the Third Proportional to 9,903.94 and 13,083.19

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Solution

The third proportional to 9,903.94 and 13,083.19 is: 17,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.94 : 13,083.19 = 13,083.19 : x
  2. Step 2: Convert to fraction form
    9,903.94/13,083.19 = 13,083.19/x
  3. Step 3: Cross multiply
    9,903.94x = 13,083.19 × 13,083.19
  4. Step 4: Simplify right side
    9,903.94x = 171,169,795.16
  5. Step 5: Solve for x
    x = 171,169,795.16/9,903.94
  6. Step 6: Final answer
    x = 17,283.00

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.