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Finding the Third Proportional to 49,025.50 and 69,037.75

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Solution

The third proportional to 49,025.50 and 69,037.75 is: 97,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,025.50 : 69,037.75 = 69,037.75 : x
  2. Step 2: Convert to fraction form
    49,025.50/69,037.75 = 69,037.75/x
  3. Step 3: Cross multiply
    49,025.50x = 69,037.75 × 69,037.75
  4. Step 4: Simplify right side
    49,025.50x = 4,766,210,925.06
  5. Step 5: Solve for x
    x = 4,766,210,925.06/49,025.50
  6. Step 6: Final answer
    x = 97,219.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.