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Finding the Third Proportional to 24,696.65 and 35,294.21

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Solution

The third proportional to 24,696.65 and 35,294.21 is: 50,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.65 : 35,294.21 = 35,294.21 : x
  2. Step 2: Convert to fraction form
    24,696.65/35,294.21 = 35,294.21/x
  3. Step 3: Cross multiply
    24,696.65x = 35,294.21 × 35,294.21
  4. Step 4: Simplify right side
    24,696.65x = 1,245,681,084.43
  5. Step 5: Solve for x
    x = 1,245,681,084.43/24,696.65
  6. Step 6: Final answer
    x = 50,439.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.