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Finding the Third Proportional to 7,106 and 9,633

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Solution

The third proportional to 7,106 and 9,633 is: 13,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106 : 9,633 = 9,633 : x
  2. Step 2: Convert to fraction form
    7,106/9,633 = 9,633/x
  3. Step 3: Cross multiply
    7,106x = 9,633 × 9,633
  4. Step 4: Simplify right side
    7,106x = 92,794,689
  5. Step 5: Solve for x
    x = 92,794,689/7,106
  6. Step 6: Final answer
    x = 13,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.