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Finding the Third Proportional to 48,533.63 and 71,187.19

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Solution

The third proportional to 48,533.63 and 71,187.19 is: 104,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533.63 : 71,187.19 = 71,187.19 : x
  2. Step 2: Convert to fraction form
    48,533.63/71,187.19 = 71,187.19/x
  3. Step 3: Cross multiply
    48,533.63x = 71,187.19 × 71,187.19
  4. Step 4: Simplify right side
    48,533.63x = 5,067,615,664.16
  5. Step 5: Solve for x
    x = 5,067,615,664.16/48,533.63
  6. Step 6: Final answer
    x = 104,414.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.