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Finding the Third Proportional to 9,594.84 and 20,647.69

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Solution

The third proportional to 9,594.84 and 20,647.69 is: 44,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.84 : 20,647.69 = 20,647.69 : x
  2. Step 2: Convert to fraction form
    9,594.84/20,647.69 = 20,647.69/x
  3. Step 3: Cross multiply
    9,594.84x = 20,647.69 × 20,647.69
  4. Step 4: Simplify right side
    9,594.84x = 426,326,999.10
  5. Step 5: Solve for x
    x = 426,326,999.10/9,594.84
  6. Step 6: Final answer
    x = 44,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.