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Finding the Third Proportional to 10,050.80 and 21,660.70

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Solution

The third proportional to 10,050.80 and 21,660.70 is: 46,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.80 : 21,660.70 = 21,660.70 : x
  2. Step 2: Convert to fraction form
    10,050.80/21,660.70 = 21,660.70/x
  3. Step 3: Cross multiply
    10,050.80x = 21,660.70 × 21,660.70
  4. Step 4: Simplify right side
    10,050.80x = 469,185,806.03
  5. Step 5: Solve for x
    x = 469,185,806.03/10,050.80
  6. Step 6: Final answer
    x = 46,681.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.