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Finding the Third Proportional to 3,059.30 and 4,769.30

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Solution

The third proportional to 3,059.30 and 4,769.30 is: 7,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.30 : 4,769.30 = 4,769.30 : x
  2. Step 2: Convert to fraction form
    3,059.30/4,769.30 = 4,769.30/x
  3. Step 3: Cross multiply
    3,059.30x = 4,769.30 × 4,769.30
  4. Step 4: Simplify right side
    3,059.30x = 22,746,192.68
  5. Step 5: Solve for x
    x = 22,746,192.68/3,059.30
  6. Step 6: Final answer
    x = 7,435.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.