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Finding the Third Proportional to 12,043.69 and 13,258.69

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Solution

The third proportional to 12,043.69 and 13,258.69 is: 14,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.69 : 13,258.69 = 13,258.69 : x
  2. Step 2: Convert to fraction form
    12,043.69/13,258.69 = 13,258.69/x
  3. Step 3: Cross multiply
    12,043.69x = 13,258.69 × 13,258.69
  4. Step 4: Simplify right side
    12,043.69x = 175,792,794.22
  5. Step 5: Solve for x
    x = 175,792,794.22/12,043.69
  6. Step 6: Final answer
    x = 14,596.26

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.