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Finding the Third Proportional to 13,683.94 and 19,569.09

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Solution

The third proportional to 13,683.94 and 19,569.09 is: 27,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.94 : 19,569.09 = 19,569.09 : x
  2. Step 2: Convert to fraction form
    13,683.94/19,569.09 = 19,569.09/x
  3. Step 3: Cross multiply
    13,683.94x = 19,569.09 × 19,569.09
  4. Step 4: Simplify right side
    13,683.94x = 382,949,430.20
  5. Step 5: Solve for x
    x = 382,949,430.20/13,683.94
  6. Step 6: Final answer
    x = 27,985.32

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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.