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Finding the Third Proportional to 30,364 and 44,056

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Solution

The third proportional to 30,364 and 44,056 is: 63,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364 : 44,056 = 44,056 : x
  2. Step 2: Convert to fraction form
    30,364/44,056 = 44,056/x
  3. Step 3: Cross multiply
    30,364x = 44,056 × 44,056
  4. Step 4: Simplify right side
    30,364x = 1,940,931,136
  5. Step 5: Solve for x
    x = 1,940,931,136/30,364
  6. Step 6: Final answer
    x = 63,922.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.