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Finding the Third Proportional to 12,646.13 and 19,353.94

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Solution

The third proportional to 12,646.13 and 19,353.94 is: 29,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.13 : 19,353.94 = 19,353.94 : x
  2. Step 2: Convert to fraction form
    12,646.13/19,353.94 = 19,353.94/x
  3. Step 3: Cross multiply
    12,646.13x = 19,353.94 × 19,353.94
  4. Step 4: Simplify right side
    12,646.13x = 374,574,896.75
  5. Step 5: Solve for x
    x = 374,574,896.75/12,646.13
  6. Step 6: Final answer
    x = 29,619.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.