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Finding the Third Proportional to 7,561.88 and 12,011.44

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Solution

The third proportional to 7,561.88 and 12,011.44 is: 19,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.88 : 12,011.44 = 12,011.44 : x
  2. Step 2: Convert to fraction form
    7,561.88/12,011.44 = 12,011.44/x
  3. Step 3: Cross multiply
    7,561.88x = 12,011.44 × 12,011.44
  4. Step 4: Simplify right side
    7,561.88x = 144,274,630.82
  5. Step 5: Solve for x
    x = 144,274,630.82/7,561.88
  6. Step 6: Final answer
    x = 19,079.21

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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.