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Finding the Third Proportional to 19,371 and 29,815.50

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Solution

The third proportional to 19,371 and 29,815.50 is: 45,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371 : 29,815.50 = 29,815.50 : x
  2. Step 2: Convert to fraction form
    19,371/29,815.50 = 29,815.50/x
  3. Step 3: Cross multiply
    19,371x = 29,815.50 × 29,815.50
  4. Step 4: Simplify right side
    19,371x = 888,964,040.25
  5. Step 5: Solve for x
    x = 888,964,040.25/19,371
  6. Step 6: Final answer
    x = 45,891.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.