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Finding the Third Proportional to 4,473.56 and 6,830.16

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Solution

The third proportional to 4,473.56 and 6,830.16 is: 10,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.56 : 6,830.16 = 6,830.16 : x
  2. Step 2: Convert to fraction form
    4,473.56/6,830.16 = 6,830.16/x
  3. Step 3: Cross multiply
    4,473.56x = 6,830.16 × 6,830.16
  4. Step 4: Simplify right side
    4,473.56x = 46,651,034.40
  5. Step 5: Solve for x
    x = 46,651,034.40/4,473.56
  6. Step 6: Final answer
    x = 10,428.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.