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Finding the Third Proportional to 9,564.75 and 20,597.63

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Solution

The third proportional to 9,564.75 and 20,597.63 is: 44,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.75 : 20,597.63 = 20,597.63 : x
  2. Step 2: Convert to fraction form
    9,564.75/20,597.63 = 20,597.63/x
  3. Step 3: Cross multiply
    9,564.75x = 20,597.63 × 20,597.63
  4. Step 4: Simplify right side
    9,564.75x = 424,262,155.64
  5. Step 5: Solve for x
    x = 424,262,155.64/9,564.75
  6. Step 6: Final answer
    x = 44,356.85

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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.