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Finding the Third Proportional to 7,732.88 and 16,559.44

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Solution

The third proportional to 7,732.88 and 16,559.44 is: 35,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.88 : 16,559.44 = 16,559.44 : x
  2. Step 2: Convert to fraction form
    7,732.88/16,559.44 = 16,559.44/x
  3. Step 3: Cross multiply
    7,732.88x = 16,559.44 × 16,559.44
  4. Step 4: Simplify right side
    7,732.88x = 274,214,970.32
  5. Step 5: Solve for x
    x = 274,214,970.32/7,732.88
  6. Step 6: Final answer
    x = 35,460.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.