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Finding the Third Proportional to 25,570.69 and 28,486.69

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Solution

The third proportional to 25,570.69 and 28,486.69 is: 31,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.69 : 28,486.69 = 28,486.69 : x
  2. Step 2: Convert to fraction form
    25,570.69/28,486.69 = 28,486.69/x
  3. Step 3: Cross multiply
    25,570.69x = 28,486.69 × 28,486.69
  4. Step 4: Simplify right side
    25,570.69x = 811,491,364.72
  5. Step 5: Solve for x
    x = 811,491,364.72/25,570.69
  6. Step 6: Final answer
    x = 31,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.