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Finding the Third Proportional to 5,826 and 9,507

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Solution

The third proportional to 5,826 and 9,507 is: 15,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826 : 9,507 = 9,507 : x
  2. Step 2: Convert to fraction form
    5,826/9,507 = 9,507/x
  3. Step 3: Cross multiply
    5,826x = 9,507 × 9,507
  4. Step 4: Simplify right side
    5,826x = 90,383,049
  5. Step 5: Solve for x
    x = 90,383,049/5,826
  6. Step 6: Final answer
    x = 15,513.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.