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Finding the Third Proportional to 30,332 and 65,819

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Solution

The third proportional to 30,332 and 65,819 is: 142,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332 : 65,819 = 65,819 : x
  2. Step 2: Convert to fraction form
    30,332/65,819 = 65,819/x
  3. Step 3: Cross multiply
    30,332x = 65,819 × 65,819
  4. Step 4: Simplify right side
    30,332x = 4,332,140,761
  5. Step 5: Solve for x
    x = 4,332,140,761/30,332
  6. Step 6: Final answer
    x = 142,824.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.