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Finding the Third Proportional to 44,636.63 and 69,172.31

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Solution

The third proportional to 44,636.63 and 69,172.31 is: 107,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,636.63 : 69,172.31 = 69,172.31 : x
  2. Step 2: Convert to fraction form
    44,636.63/69,172.31 = 69,172.31/x
  3. Step 3: Cross multiply
    44,636.63x = 69,172.31 × 69,172.31
  4. Step 4: Simplify right side
    44,636.63x = 4,784,808,816.60
  5. Step 5: Solve for x
    x = 4,784,808,816.60/44,636.63
  6. Step 6: Final answer
    x = 107,194.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.