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Finding the Third Proportional to 4,478.41 and 9,776.95

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Solution

The third proportional to 4,478.41 and 9,776.95 is: 21,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.41 : 9,776.95 = 9,776.95 : x
  2. Step 2: Convert to fraction form
    4,478.41/9,776.95 = 9,776.95/x
  3. Step 3: Cross multiply
    4,478.41x = 9,776.95 × 9,776.95
  4. Step 4: Simplify right side
    4,478.41x = 95,588,812.41
  5. Step 5: Solve for x
    x = 95,588,812.41/4,478.41
  6. Step 6: Final answer
    x = 21,344.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.