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Finding the Third Proportional to 23,707.69 and 25,530.19

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Solution

The third proportional to 23,707.69 and 25,530.19 is: 27,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.69 : 25,530.19 = 25,530.19 : x
  2. Step 2: Convert to fraction form
    23,707.69/25,530.19 = 25,530.19/x
  3. Step 3: Cross multiply
    23,707.69x = 25,530.19 × 25,530.19
  4. Step 4: Simplify right side
    23,707.69x = 651,790,473.79
  5. Step 5: Solve for x
    x = 651,790,473.79/23,707.69
  6. Step 6: Final answer
    x = 27,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.