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Finding the Third Proportional to 24,503 and 34,506.28

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Solution

The third proportional to 24,503 and 34,506.28 is: 48,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503 : 34,506.28 = 34,506.28 : x
  2. Step 2: Convert to fraction form
    24,503/34,506.28 = 34,506.28/x
  3. Step 3: Cross multiply
    24,503x = 34,506.28 × 34,506.28
  4. Step 4: Simplify right side
    24,503x = 1,190,683,445.70
  5. Step 5: Solve for x
    x = 1,190,683,445.70/24,503
  6. Step 6: Final answer
    x = 48,593.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.