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Finding the Third Proportional to 49,870.69 and 74,633.91

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Solution

The third proportional to 49,870.69 and 74,633.91 is: 111,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,870.69 : 74,633.91 = 74,633.91 : x
  2. Step 2: Convert to fraction form
    49,870.69/74,633.91 = 74,633.91/x
  3. Step 3: Cross multiply
    49,870.69x = 74,633.91 × 74,633.91
  4. Step 4: Simplify right side
    49,870.69x = 5,570,219,962.13
  5. Step 5: Solve for x
    x = 5,570,219,962.13/49,870.69
  6. Step 6: Final answer
    x = 111,693.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.