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Finding the Third Proportional to 30,116 and 44,310

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Solution

The third proportional to 30,116 and 44,310 is: 65,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 44,310 = 44,310 : x
  2. Step 2: Convert to fraction form
    30,116/44,310 = 44,310/x
  3. Step 3: Cross multiply
    30,116x = 44,310 × 44,310
  4. Step 4: Simplify right side
    30,116x = 1,963,376,100
  5. Step 5: Solve for x
    x = 1,963,376,100/30,116
  6. Step 6: Final answer
    x = 65,193.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.