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Finding the Third Proportional to 10,281.94 and 21,270.09

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Solution

The third proportional to 10,281.94 and 21,270.09 is: 44,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.94 : 21,270.09 = 21,270.09 : x
  2. Step 2: Convert to fraction form
    10,281.94/21,270.09 = 21,270.09/x
  3. Step 3: Cross multiply
    10,281.94x = 21,270.09 × 21,270.09
  4. Step 4: Simplify right side
    10,281.94x = 452,416,888.13
  5. Step 5: Solve for x
    x = 452,416,888.13/10,281.94
  6. Step 6: Final answer
    x = 44,001.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.