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Finding the Third Proportional to 13,798.31 and 21,858.56

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Solution

The third proportional to 13,798.31 and 21,858.56 is: 34,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.31 : 21,858.56 = 21,858.56 : x
  2. Step 2: Convert to fraction form
    13,798.31/21,858.56 = 21,858.56/x
  3. Step 3: Cross multiply
    13,798.31x = 21,858.56 × 21,858.56
  4. Step 4: Simplify right side
    13,798.31x = 477,796,754.57
  5. Step 5: Solve for x
    x = 477,796,754.57/13,798.31
  6. Step 6: Final answer
    x = 34,627.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.