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Finding the Third Proportional to 4,770.56 and 10,459.97

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Solution

The third proportional to 4,770.56 and 10,459.97 is: 22,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.56 : 10,459.97 = 10,459.97 : x
  2. Step 2: Convert to fraction form
    4,770.56/10,459.97 = 10,459.97/x
  3. Step 3: Cross multiply
    4,770.56x = 10,459.97 × 10,459.97
  4. Step 4: Simplify right side
    4,770.56x = 109,410,946.25
  5. Step 5: Solve for x
    x = 109,410,946.25/4,770.56
  6. Step 6: Final answer
    x = 22,934.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.