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Finding the Third Proportional to 30,596 and 44,719

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Solution

The third proportional to 30,596 and 44,719 is: 65,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596 : 44,719 = 44,719 : x
  2. Step 2: Convert to fraction form
    30,596/44,719 = 44,719/x
  3. Step 3: Cross multiply
    30,596x = 44,719 × 44,719
  4. Step 4: Simplify right side
    30,596x = 1,999,788,961
  5. Step 5: Solve for x
    x = 1,999,788,961/30,596
  6. Step 6: Final answer
    x = 65,361.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.