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Finding the Third Proportional to 8,409 and 10,953

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Solution

The third proportional to 8,409 and 10,953 is: 14,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 10,953 = 10,953 : x
  2. Step 2: Convert to fraction form
    8,409/10,953 = 10,953/x
  3. Step 3: Cross multiply
    8,409x = 10,953 × 10,953
  4. Step 4: Simplify right side
    8,409x = 119,968,209
  5. Step 5: Solve for x
    x = 119,968,209/8,409
  6. Step 6: Final answer
    x = 14,266.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.