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Finding the Third Proportional to 9,594.70 and 20,829.66

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Solution

The third proportional to 9,594.70 and 20,829.66 is: 45,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.70 : 20,829.66 = 20,829.66 : x
  2. Step 2: Convert to fraction form
    9,594.70/20,829.66 = 20,829.66/x
  3. Step 3: Cross multiply
    9,594.70x = 20,829.66 × 20,829.66
  4. Step 4: Simplify right side
    9,594.70x = 433,874,579.49
  5. Step 5: Solve for x
    x = 433,874,579.49/9,594.70
  6. Step 6: Final answer
    x = 45,220.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.