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Finding the Third Proportional to 13,128.54 and 19,702.41

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Solution

The third proportional to 13,128.54 and 19,702.41 is: 29,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.54 : 19,702.41 = 19,702.41 : x
  2. Step 2: Convert to fraction form
    13,128.54/19,702.41 = 19,702.41/x
  3. Step 3: Cross multiply
    13,128.54x = 19,702.41 × 19,702.41
  4. Step 4: Simplify right side
    13,128.54x = 388,184,812.04
  5. Step 5: Solve for x
    x = 388,184,812.04/13,128.54
  6. Step 6: Final answer
    x = 29,568.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.