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Finding the Third Proportional to 13,457.25 and 19,263.38

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Solution

The third proportional to 13,457.25 and 19,263.38 is: 27,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.25 : 19,263.38 = 19,263.38 : x
  2. Step 2: Convert to fraction form
    13,457.25/19,263.38 = 19,263.38/x
  3. Step 3: Cross multiply
    13,457.25x = 19,263.38 × 19,263.38
  4. Step 4: Simplify right side
    13,457.25x = 371,077,616.39
  5. Step 5: Solve for x
    x = 371,077,616.39/13,457.25
  6. Step 6: Final answer
    x = 27,574.55

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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.