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Finding the Third Proportional to 4,841.44 and 7,700.06

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Solution

The third proportional to 4,841.44 and 7,700.06 is: 12,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.44 : 7,700.06 = 7,700.06 : x
  2. Step 2: Convert to fraction form
    4,841.44/7,700.06 = 7,700.06/x
  3. Step 3: Cross multiply
    4,841.44x = 7,700.06 × 7,700.06
  4. Step 4: Simplify right side
    4,841.44x = 59,290,962.50
  5. Step 5: Solve for x
    x = 59,290,962.50/4,841.44
  6. Step 6: Final answer
    x = 12,246.56

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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.