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Finding the Third Proportional to 30,310 and 65,443

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Solution

The third proportional to 30,310 and 65,443 is: 141,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310 : 65,443 = 65,443 : x
  2. Step 2: Convert to fraction form
    30,310/65,443 = 65,443/x
  3. Step 3: Cross multiply
    30,310x = 65,443 × 65,443
  4. Step 4: Simplify right side
    30,310x = 4,282,786,249
  5. Step 5: Solve for x
    x = 4,282,786,249/30,310
  6. Step 6: Final answer
    x = 141,299.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.