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Finding the Third Proportional to 9,076.88 and 19,587.56

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Solution

The third proportional to 9,076.88 and 19,587.56 is: 42,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.88 : 19,587.56 = 19,587.56 : x
  2. Step 2: Convert to fraction form
    9,076.88/19,587.56 = 19,587.56/x
  3. Step 3: Cross multiply
    9,076.88x = 19,587.56 × 19,587.56
  4. Step 4: Simplify right side
    9,076.88x = 383,672,604.69
  5. Step 5: Solve for x
    x = 383,672,604.69/9,076.88
  6. Step 6: Final answer
    x = 42,269.24

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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.