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Finding the Third Proportional to 49,318.50 and 69,784.50

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Solution

The third proportional to 49,318.50 and 69,784.50 is: 98,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318.50 : 69,784.50 = 69,784.50 : x
  2. Step 2: Convert to fraction form
    49,318.50/69,784.50 = 69,784.50/x
  3. Step 3: Cross multiply
    49,318.50x = 69,784.50 × 69,784.50
  4. Step 4: Simplify right side
    49,318.50x = 4,869,876,440.25
  5. Step 5: Solve for x
    x = 4,869,876,440.25/49,318.50
  6. Step 6: Final answer
    x = 98,743.40

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Why These Related Problems?

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