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Finding the Third Proportional to 9,527.63 and 20,644.88

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Solution

The third proportional to 9,527.63 and 20,644.88 is: 44,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.63 : 20,644.88 = 20,644.88 : x
  2. Step 2: Convert to fraction form
    9,527.63/20,644.88 = 20,644.88/x
  3. Step 3: Cross multiply
    9,527.63x = 20,644.88 × 20,644.88
  4. Step 4: Simplify right side
    9,527.63x = 426,210,863.77
  5. Step 5: Solve for x
    x = 426,210,863.77/9,527.63
  6. Step 6: Final answer
    x = 44,734.22

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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.