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Finding the Third Proportional to 49,316.63 and 69,782.06

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Solution

The third proportional to 49,316.63 and 69,782.06 is: 98,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316.63 : 69,782.06 = 69,782.06 : x
  2. Step 2: Convert to fraction form
    49,316.63/69,782.06 = 69,782.06/x
  3. Step 3: Cross multiply
    49,316.63x = 69,782.06 × 69,782.06
  4. Step 4: Simplify right side
    49,316.63x = 4,869,536,246.75
  5. Step 5: Solve for x
    x = 4,869,536,246.75/49,316.63
  6. Step 6: Final answer
    x = 98,740.26

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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.