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Finding the Third Proportional to 7,835 and 16,723

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Solution

The third proportional to 7,835 and 16,723 is: 35,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835 : 16,723 = 16,723 : x
  2. Step 2: Convert to fraction form
    7,835/16,723 = 16,723/x
  3. Step 3: Cross multiply
    7,835x = 16,723 × 16,723
  4. Step 4: Simplify right side
    7,835x = 279,658,729
  5. Step 5: Solve for x
    x = 279,658,729/7,835
  6. Step 6: Final answer
    x = 35,693.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.