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Finding the Third Proportional to 13,564.55 and 29,755.41

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Solution

The third proportional to 13,564.55 and 29,755.41 is: 65,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.55 : 29,755.41 = 29,755.41 : x
  2. Step 2: Convert to fraction form
    13,564.55/29,755.41 = 29,755.41/x
  3. Step 3: Cross multiply
    13,564.55x = 29,755.41 × 29,755.41
  4. Step 4: Simplify right side
    13,564.55x = 885,384,201.10
  5. Step 5: Solve for x
    x = 885,384,201.10/13,564.55
  6. Step 6: Final answer
    x = 65,271.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.