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Finding the Third Proportional to 7,835 and 10,641

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Solution

The third proportional to 7,835 and 10,641 is: 14,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835 : 10,641 = 10,641 : x
  2. Step 2: Convert to fraction form
    7,835/10,641 = 10,641/x
  3. Step 3: Cross multiply
    7,835x = 10,641 × 10,641
  4. Step 4: Simplify right side
    7,835x = 113,230,881
  5. Step 5: Solve for x
    x = 113,230,881/7,835
  6. Step 6: Final answer
    x = 14,451.93

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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.