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Finding the Third Proportional to 9,056 and 19,592

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Solution

The third proportional to 9,056 and 19,592 is: 42,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056 : 19,592 = 19,592 : x
  2. Step 2: Convert to fraction form
    9,056/19,592 = 19,592/x
  3. Step 3: Cross multiply
    9,056x = 19,592 × 19,592
  4. Step 4: Simplify right side
    9,056x = 383,846,464
  5. Step 5: Solve for x
    x = 383,846,464/9,056
  6. Step 6: Final answer
    x = 42,385.87

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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.