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Finding the Third Proportional to 19,891.50 and 26,143.50

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Solution

The third proportional to 19,891.50 and 26,143.50 is: 34,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.50 : 26,143.50 = 26,143.50 : x
  2. Step 2: Convert to fraction form
    19,891.50/26,143.50 = 26,143.50/x
  3. Step 3: Cross multiply
    19,891.50x = 26,143.50 × 26,143.50
  4. Step 4: Simplify right side
    19,891.50x = 683,482,592.25
  5. Step 5: Solve for x
    x = 683,482,592.25/19,891.50
  6. Step 6: Final answer
    x = 34,360.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.