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Finding the Third Proportional to 9,826.31 and 13,562.44

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Solution

The third proportional to 9,826.31 and 13,562.44 is: 18,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.31 : 13,562.44 = 13,562.44 : x
  2. Step 2: Convert to fraction form
    9,826.31/13,562.44 = 13,562.44/x
  3. Step 3: Cross multiply
    9,826.31x = 13,562.44 × 13,562.44
  4. Step 4: Simplify right side
    9,826.31x = 183,939,710.94
  5. Step 5: Solve for x
    x = 183,939,710.94/9,826.31
  6. Step 6: Final answer
    x = 18,719.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.