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Finding the Third Proportional to 19,731 and 29,800.50

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Solution

The third proportional to 19,731 and 29,800.50 is: 45,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 29,800.50 = 29,800.50 : x
  2. Step 2: Convert to fraction form
    19,731/29,800.50 = 29,800.50/x
  3. Step 3: Cross multiply
    19,731x = 29,800.50 × 29,800.50
  4. Step 4: Simplify right side
    19,731x = 888,069,800.25
  5. Step 5: Solve for x
    x = 888,069,800.25/19,731
  6. Step 6: Final answer
    x = 45,008.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.