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Finding the Third Proportional to 9,754.45 and 20,988.42

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Solution

The third proportional to 9,754.45 and 20,988.42 is: 45,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.45 : 20,988.42 = 20,988.42 : x
  2. Step 2: Convert to fraction form
    9,754.45/20,988.42 = 20,988.42/x
  3. Step 3: Cross multiply
    9,754.45x = 20,988.42 × 20,988.42
  4. Step 4: Simplify right side
    9,754.45x = 440,513,852.80
  5. Step 5: Solve for x
    x = 440,513,852.80/9,754.45
  6. Step 6: Final answer
    x = 45,160.28

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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.