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Finding the Third Proportional to 7,802 and 16,480

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Solution

The third proportional to 7,802 and 16,480 is: 34,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 16,480 = 16,480 : x
  2. Step 2: Convert to fraction form
    7,802/16,480 = 16,480/x
  3. Step 3: Cross multiply
    7,802x = 16,480 × 16,480
  4. Step 4: Simplify right side
    7,802x = 271,590,400
  5. Step 5: Solve for x
    x = 271,590,400/7,802
  6. Step 6: Final answer
    x = 34,810.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.