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Finding the Third Proportional to 30,309 and 46,329

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Solution

The third proportional to 30,309 and 46,329 is: 70,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309 : 46,329 = 46,329 : x
  2. Step 2: Convert to fraction form
    30,309/46,329 = 46,329/x
  3. Step 3: Cross multiply
    30,309x = 46,329 × 46,329
  4. Step 4: Simplify right side
    30,309x = 2,146,376,241
  5. Step 5: Solve for x
    x = 2,146,376,241/30,309
  6. Step 6: Final answer
    x = 70,816.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.