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Finding the Third Proportional to 4,494.66 and 9,809.02

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Solution

The third proportional to 4,494.66 and 9,809.02 is: 21,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.66 : 9,809.02 = 9,809.02 : x
  2. Step 2: Convert to fraction form
    4,494.66/9,809.02 = 9,809.02/x
  3. Step 3: Cross multiply
    4,494.66x = 9,809.02 × 9,809.02
  4. Step 4: Simplify right side
    4,494.66x = 96,216,787.53
  5. Step 5: Solve for x
    x = 96,216,787.53/4,494.66
  6. Step 6: Final answer
    x = 21,406.93

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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.