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Finding the Third Proportional to 19,513.13 and 46,047.94

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Solution

The third proportional to 19,513.13 and 46,047.94 is: 108,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.13 : 46,047.94 = 46,047.94 : x
  2. Step 2: Convert to fraction form
    19,513.13/46,047.94 = 46,047.94/x
  3. Step 3: Cross multiply
    19,513.13x = 46,047.94 × 46,047.94
  4. Step 4: Simplify right side
    19,513.13x = 2,120,412,548.00
  5. Step 5: Solve for x
    x = 2,120,412,548.00/19,513.13
  6. Step 6: Final answer
    x = 108,665.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.