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Finding the Third Proportional to 6,556 and 14,426

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Solution

The third proportional to 6,556 and 14,426 is: 31,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556 : 14,426 = 14,426 : x
  2. Step 2: Convert to fraction form
    6,556/14,426 = 14,426/x
  3. Step 3: Cross multiply
    6,556x = 14,426 × 14,426
  4. Step 4: Simplify right side
    6,556x = 208,109,476
  5. Step 5: Solve for x
    x = 208,109,476/6,556
  6. Step 6: Final answer
    x = 31,743.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.