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Finding the Third Proportional to 9,076.19 and 19,660.25

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Solution

The third proportional to 9,076.19 and 19,660.25 is: 42,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.19 : 19,660.25 = 19,660.25 : x
  2. Step 2: Convert to fraction form
    9,076.19/19,660.25 = 19,660.25/x
  3. Step 3: Cross multiply
    9,076.19x = 19,660.25 × 19,660.25
  4. Step 4: Simplify right side
    9,076.19x = 386,525,430.06
  5. Step 5: Solve for x
    x = 386,525,430.06/9,076.19
  6. Step 6: Final answer
    x = 42,586.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.