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Finding the Third Proportional to 13,008.09 and 27,417.23

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Solution

The third proportional to 13,008.09 and 27,417.23 is: 57,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.09 : 27,417.23 = 27,417.23 : x
  2. Step 2: Convert to fraction form
    13,008.09/27,417.23 = 27,417.23/x
  3. Step 3: Cross multiply
    13,008.09x = 27,417.23 × 27,417.23
  4. Step 4: Simplify right side
    13,008.09x = 751,704,740.77
  5. Step 5: Solve for x
    x = 751,704,740.77/13,008.09
  6. Step 6: Final answer
    x = 57,787.46

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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.