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Finding the Third Proportional to 5,312 and 11,329

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Solution

The third proportional to 5,312 and 11,329 is: 24,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312 : 11,329 = 11,329 : x
  2. Step 2: Convert to fraction form
    5,312/11,329 = 11,329/x
  3. Step 3: Cross multiply
    5,312x = 11,329 × 11,329
  4. Step 4: Simplify right side
    5,312x = 128,346,241
  5. Step 5: Solve for x
    x = 128,346,241/5,312
  6. Step 6: Final answer
    x = 24,161.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.