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Finding the Third Proportional to 9,903.75 and 21,549.38

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Solution

The third proportional to 9,903.75 and 21,549.38 is: 46,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.75 : 21,549.38 = 21,549.38 : x
  2. Step 2: Convert to fraction form
    9,903.75/21,549.38 = 21,549.38/x
  3. Step 3: Cross multiply
    9,903.75x = 21,549.38 × 21,549.38
  4. Step 4: Simplify right side
    9,903.75x = 464,375,562.89
  5. Step 5: Solve for x
    x = 464,375,562.89/9,903.75
  6. Step 6: Final answer
    x = 46,888.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.