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Finding the Third Proportional to 31,969.69 and 46,792.69

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Solution

The third proportional to 31,969.69 and 46,792.69 is: 68,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.69 : 46,792.69 = 46,792.69 : x
  2. Step 2: Convert to fraction form
    31,969.69/46,792.69 = 46,792.69/x
  3. Step 3: Cross multiply
    31,969.69x = 46,792.69 × 46,792.69
  4. Step 4: Simplify right side
    31,969.69x = 2,189,555,603.47
  5. Step 5: Solve for x
    x = 2,189,555,603.47/31,969.69
  6. Step 6: Final answer
    x = 68,488.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.