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Finding the Third Proportional to 17,578.69 and 23,482.41

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Solution

The third proportional to 17,578.69 and 23,482.41 is: 31,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.69 : 23,482.41 = 23,482.41 : x
  2. Step 2: Convert to fraction form
    17,578.69/23,482.41 = 23,482.41/x
  3. Step 3: Cross multiply
    17,578.69x = 23,482.41 × 23,482.41
  4. Step 4: Simplify right side
    17,578.69x = 551,423,403.29
  5. Step 5: Solve for x
    x = 551,423,403.29/17,578.69
  6. Step 6: Final answer
    x = 31,368.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.