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Finding the Third Proportional to 5,855.63 and 9,304.88

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Solution

The third proportional to 5,855.63 and 9,304.88 is: 14,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.63 : 9,304.88 = 9,304.88 : x
  2. Step 2: Convert to fraction form
    5,855.63/9,304.88 = 9,304.88/x
  3. Step 3: Cross multiply
    5,855.63x = 9,304.88 × 9,304.88
  4. Step 4: Simplify right side
    5,855.63x = 86,580,698.77
  5. Step 5: Solve for x
    x = 86,580,698.77/5,855.63
  6. Step 6: Final answer
    x = 14,785.90

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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.