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Finding the Third Proportional to 19,089 and 25,519.50

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Solution

The third proportional to 19,089 and 25,519.50 is: 34,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 25,519.50 = 25,519.50 : x
  2. Step 2: Convert to fraction form
    19,089/25,519.50 = 25,519.50/x
  3. Step 3: Cross multiply
    19,089x = 25,519.50 × 25,519.50
  4. Step 4: Simplify right side
    19,089x = 651,244,880.25
  5. Step 5: Solve for x
    x = 651,244,880.25/19,089
  6. Step 6: Final answer
    x = 34,116.24

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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.