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Finding the Third Proportional to 9,309 and 10,929

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Solution

The third proportional to 9,309 and 10,929 is: 12,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309 : 10,929 = 10,929 : x
  2. Step 2: Convert to fraction form
    9,309/10,929 = 10,929/x
  3. Step 3: Cross multiply
    9,309x = 10,929 × 10,929
  4. Step 4: Simplify right side
    9,309x = 119,443,041
  5. Step 5: Solve for x
    x = 119,443,041/9,309
  6. Step 6: Final answer
    x = 12,830.92

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.