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Finding the Third Proportional to 7,692 and 10,594

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Solution

The third proportional to 7,692 and 10,594 is: 14,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,594 = 10,594 : x
  2. Step 2: Convert to fraction form
    7,692/10,594 = 10,594/x
  3. Step 3: Cross multiply
    7,692x = 10,594 × 10,594
  4. Step 4: Simplify right side
    7,692x = 112,232,836
  5. Step 5: Solve for x
    x = 112,232,836/7,692
  6. Step 6: Final answer
    x = 14,590.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.