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Finding the Third Proportional to 9,675.09 and 19,760.16

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Solution

The third proportional to 9,675.09 and 19,760.16 is: 40,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.09 : 19,760.16 = 19,760.16 : x
  2. Step 2: Convert to fraction form
    9,675.09/19,760.16 = 19,760.16/x
  3. Step 3: Cross multiply
    9,675.09x = 19,760.16 × 19,760.16
  4. Step 4: Simplify right side
    9,675.09x = 390,463,775.02
  5. Step 5: Solve for x
    x = 390,463,775.02/9,675.09
  6. Step 6: Final answer
    x = 40,357.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.