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Finding the Third Proportional to 10,675.13 and 16,323.19

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Solution

The third proportional to 10,675.13 and 16,323.19 is: 24,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.13 : 16,323.19 = 16,323.19 : x
  2. Step 2: Convert to fraction form
    10,675.13/16,323.19 = 16,323.19/x
  3. Step 3: Cross multiply
    10,675.13x = 16,323.19 × 16,323.19
  4. Step 4: Simplify right side
    10,675.13x = 266,446,450.16
  5. Step 5: Solve for x
    x = 266,446,450.16/10,675.13
  6. Step 6: Final answer
    x = 24,959.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.