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Finding the Third Proportional to 12,526.88 and 17,620.88

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Solution

The third proportional to 12,526.88 and 17,620.88 is: 24,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.88 : 17,620.88 = 17,620.88 : x
  2. Step 2: Convert to fraction form
    12,526.88/17,620.88 = 17,620.88/x
  3. Step 3: Cross multiply
    12,526.88x = 17,620.88 × 17,620.88
  4. Step 4: Simplify right side
    12,526.88x = 310,495,235.77
  5. Step 5: Solve for x
    x = 310,495,235.77/12,526.88
  6. Step 6: Final answer
    x = 24,786.33

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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.