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Finding the Third Proportional to 30,311 and 46,332

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Solution

The third proportional to 30,311 and 46,332 is: 70,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311 : 46,332 = 46,332 : x
  2. Step 2: Convert to fraction form
    30,311/46,332 = 46,332/x
  3. Step 3: Cross multiply
    30,311x = 46,332 × 46,332
  4. Step 4: Simplify right side
    30,311x = 2,146,654,224
  5. Step 5: Solve for x
    x = 2,146,654,224/30,311
  6. Step 6: Final answer
    x = 70,820.96

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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.