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Finding the Third Proportional to 4,672.69 and 7,615.69

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Solution

The third proportional to 4,672.69 and 7,615.69 is: 12,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 7,615.69 = 7,615.69 : x
  2. Step 2: Convert to fraction form
    4,672.69/7,615.69 = 7,615.69/x
  3. Step 3: Cross multiply
    4,672.69x = 7,615.69 × 7,615.69
  4. Step 4: Simplify right side
    4,672.69x = 57,998,696.10
  5. Step 5: Solve for x
    x = 57,998,696.10/4,672.69
  6. Step 6: Final answer
    x = 12,412.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.