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Finding the Third Proportional to 4,077.84 and 8,459.44

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Solution

The third proportional to 4,077.84 and 8,459.44 is: 17,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 8,459.44 = 8,459.44 : x
  2. Step 2: Convert to fraction form
    4,077.84/8,459.44 = 8,459.44/x
  3. Step 3: Cross multiply
    4,077.84x = 8,459.44 × 8,459.44
  4. Step 4: Simplify right side
    4,077.84x = 71,562,082.82
  5. Step 5: Solve for x
    x = 71,562,082.82/4,077.84
  6. Step 6: Final answer
    x = 17,549.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.