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Finding the Third Proportional to 44,605.69 and 65,675.81

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Solution

The third proportional to 44,605.69 and 65,675.81 is: 96,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,605.69 : 65,675.81 = 65,675.81 : x
  2. Step 2: Convert to fraction form
    44,605.69/65,675.81 = 65,675.81/x
  3. Step 3: Cross multiply
    44,605.69x = 65,675.81 × 65,675.81
  4. Step 4: Simplify right side
    44,605.69x = 4,313,312,347.54
  5. Step 5: Solve for x
    x = 4,313,312,347.54/44,605.69
  6. Step 6: Final answer
    x = 96,698.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.