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Finding the Third Proportional to 19,851 and 29,506.50

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Solution

The third proportional to 19,851 and 29,506.50 is: 43,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851 : 29,506.50 = 29,506.50 : x
  2. Step 2: Convert to fraction form
    19,851/29,506.50 = 29,506.50/x
  3. Step 3: Cross multiply
    19,851x = 29,506.50 × 29,506.50
  4. Step 4: Simplify right side
    19,851x = 870,633,542.25
  5. Step 5: Solve for x
    x = 870,633,542.25/19,851
  6. Step 6: Final answer
    x = 43,858.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.