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Finding the Third Proportional to 13,804.13 and 21,495.94

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Solution

The third proportional to 13,804.13 and 21,495.94 is: 33,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.13 : 21,495.94 = 21,495.94 : x
  2. Step 2: Convert to fraction form
    13,804.13/21,495.94 = 21,495.94/x
  3. Step 3: Cross multiply
    13,804.13x = 21,495.94 × 21,495.94
  4. Step 4: Simplify right side
    13,804.13x = 462,075,329.00
  5. Step 5: Solve for x
    x = 462,075,329.00/13,804.13
  6. Step 6: Final answer
    x = 33,473.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.