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Finding the Third Proportional to 44,420 and 94,591

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Solution

The third proportional to 44,420 and 94,591 is: 201,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,420 : 94,591 = 94,591 : x
  2. Step 2: Convert to fraction form
    44,420/94,591 = 94,591/x
  3. Step 3: Cross multiply
    44,420x = 94,591 × 94,591
  4. Step 4: Simplify right side
    44,420x = 8,947,457,281
  5. Step 5: Solve for x
    x = 8,947,457,281/44,420
  6. Step 6: Final answer
    x = 201,428.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.