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Finding the Third Proportional to 10,329.75 and 21,271.13

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Solution

The third proportional to 10,329.75 and 21,271.13 is: 43,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.75 : 21,271.13 = 21,271.13 : x
  2. Step 2: Convert to fraction form
    10,329.75/21,271.13 = 21,271.13/x
  3. Step 3: Cross multiply
    10,329.75x = 21,271.13 × 21,271.13
  4. Step 4: Simplify right side
    10,329.75x = 452,460,758.77
  5. Step 5: Solve for x
    x = 452,460,758.77/10,329.75
  6. Step 6: Final answer
    x = 43,801.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.