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Finding the Third Proportional to 17,258.06 and 23,707.69

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Solution

The third proportional to 17,258.06 and 23,707.69 is: 32,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.06 : 23,707.69 = 23,707.69 : x
  2. Step 2: Convert to fraction form
    17,258.06/23,707.69 = 23,707.69/x
  3. Step 3: Cross multiply
    17,258.06x = 23,707.69 × 23,707.69
  4. Step 4: Simplify right side
    17,258.06x = 562,054,446.60
  5. Step 5: Solve for x
    x = 562,054,446.60/17,258.06
  6. Step 6: Final answer
    x = 32,567.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.