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Finding the Third Proportional to 9,735.19 and 13,775.06

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Solution

The third proportional to 9,735.19 and 13,775.06 is: 19,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 13,775.06 = 13,775.06 : x
  2. Step 2: Convert to fraction form
    9,735.19/13,775.06 = 13,775.06/x
  3. Step 3: Cross multiply
    9,735.19x = 13,775.06 × 13,775.06
  4. Step 4: Simplify right side
    9,735.19x = 189,752,346.88
  5. Step 5: Solve for x
    x = 189,752,346.88/9,735.19
  6. Step 6: Final answer
    x = 19,491.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.