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Finding the Third Proportional to 49,581.56 and 75,533.34

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Solution

The third proportional to 49,581.56 and 75,533.34 is: 115,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,581.56 : 75,533.34 = 75,533.34 : x
  2. Step 2: Convert to fraction form
    49,581.56/75,533.34 = 75,533.34/x
  3. Step 3: Cross multiply
    49,581.56x = 75,533.34 × 75,533.34
  4. Step 4: Simplify right side
    49,581.56x = 5,705,286,018.06
  5. Step 5: Solve for x
    x = 5,705,286,018.06/49,581.56
  6. Step 6: Final answer
    x = 115,068.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.