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Finding the Third Proportional to 9,922.50 and 15,795

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Solution

The third proportional to 9,922.50 and 15,795 is: 25,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.50 : 15,795 = 15,795 : x
  2. Step 2: Convert to fraction form
    9,922.50/15,795 = 15,795/x
  3. Step 3: Cross multiply
    9,922.50x = 15,795 × 15,795
  4. Step 4: Simplify right side
    9,922.50x = 249,482,025
  5. Step 5: Solve for x
    x = 249,482,025/9,922.50
  6. Step 6: Final answer
    x = 25,143.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.