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Finding the Third Proportional to 13,496.63 and 19,657.69

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Solution

The third proportional to 13,496.63 and 19,657.69 is: 28,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.63 : 19,657.69 = 19,657.69 : x
  2. Step 2: Convert to fraction form
    13,496.63/19,657.69 = 19,657.69/x
  3. Step 3: Cross multiply
    13,496.63x = 19,657.69 × 19,657.69
  4. Step 4: Simplify right side
    13,496.63x = 386,424,677.85
  5. Step 5: Solve for x
    x = 386,424,677.85/13,496.63
  6. Step 6: Final answer
    x = 28,631.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.