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Finding the Third Proportional to 13,604.63 and 29,541.38

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Solution

The third proportional to 13,604.63 and 29,541.38 is: 64,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.63 : 29,541.38 = 29,541.38 : x
  2. Step 2: Convert to fraction form
    13,604.63/29,541.38 = 29,541.38/x
  3. Step 3: Cross multiply
    13,604.63x = 29,541.38 × 29,541.38
  4. Step 4: Simplify right side
    13,604.63x = 872,692,836.89
  5. Step 5: Solve for x
    x = 872,692,836.89/13,604.63
  6. Step 6: Final answer
    x = 64,146.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.