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Finding the Third Proportional to 13,886.63 and 19,844.06

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Solution

The third proportional to 13,886.63 and 19,844.06 is: 28,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.63 : 19,844.06 = 19,844.06 : x
  2. Step 2: Convert to fraction form
    13,886.63/19,844.06 = 19,844.06/x
  3. Step 3: Cross multiply
    13,886.63x = 19,844.06 × 19,844.06
  4. Step 4: Simplify right side
    13,886.63x = 393,786,816.50
  5. Step 5: Solve for x
    x = 393,786,816.50/13,886.63
  6. Step 6: Final answer
    x = 28,357.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.