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Finding the Third Proportional to 4,400.58 and 6,599.60

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Solution

The third proportional to 4,400.58 and 6,599.60 is: 9,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.58 : 6,599.60 = 6,599.60 : x
  2. Step 2: Convert to fraction form
    4,400.58/6,599.60 = 6,599.60/x
  3. Step 3: Cross multiply
    4,400.58x = 6,599.60 × 6,599.60
  4. Step 4: Simplify right side
    4,400.58x = 43,554,740.78
  5. Step 5: Solve for x
    x = 43,554,740.78/4,400.58
  6. Step 6: Final answer
    x = 9,897.50

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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.