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Finding the Third Proportional to 7,700.06 and 11,577.94

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Solution

The third proportional to 7,700.06 and 11,577.94 is: 17,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 11,577.94 = 11,577.94 : x
  2. Step 2: Convert to fraction form
    7,700.06/11,577.94 = 11,577.94/x
  3. Step 3: Cross multiply
    7,700.06x = 11,577.94 × 11,577.94
  4. Step 4: Simplify right side
    7,700.06x = 134,048,636.75
  5. Step 5: Solve for x
    x = 134,048,636.75/7,700.06
  6. Step 6: Final answer
    x = 17,408.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.