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Finding the Third Proportional to 13,152.94 and 19,038.38

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Solution

The third proportional to 13,152.94 and 19,038.38 is: 27,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.94 : 19,038.38 = 19,038.38 : x
  2. Step 2: Convert to fraction form
    13,152.94/19,038.38 = 19,038.38/x
  3. Step 3: Cross multiply
    13,152.94x = 19,038.38 × 19,038.38
  4. Step 4: Simplify right side
    13,152.94x = 362,459,722.64
  5. Step 5: Solve for x
    x = 362,459,722.64/13,152.94
  6. Step 6: Final answer
    x = 27,557.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.