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Finding the Third Proportional to 9,312 and 10,336

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Solution

The third proportional to 9,312 and 10,336 is: 11,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 10,336 = 10,336 : x
  2. Step 2: Convert to fraction form
    9,312/10,336 = 10,336/x
  3. Step 3: Cross multiply
    9,312x = 10,336 × 10,336
  4. Step 4: Simplify right side
    9,312x = 106,832,896
  5. Step 5: Solve for x
    x = 106,832,896/9,312
  6. Step 6: Final answer
    x = 11,472.60

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.