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Finding the Third Proportional to 9,464 and 11,576

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Solution

The third proportional to 9,464 and 11,576 is: 14,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 11,576 = 11,576 : x
  2. Step 2: Convert to fraction form
    9,464/11,576 = 11,576/x
  3. Step 3: Cross multiply
    9,464x = 11,576 × 11,576
  4. Step 4: Simplify right side
    9,464x = 134,003,776
  5. Step 5: Solve for x
    x = 134,003,776/9,464
  6. Step 6: Final answer
    x = 14,159.32

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.