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Finding the Third Proportional to 44,414 and 94,582

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Solution

The third proportional to 44,414 and 94,582 is: 201,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,414 : 94,582 = 94,582 : x
  2. Step 2: Convert to fraction form
    44,414/94,582 = 94,582/x
  3. Step 3: Cross multiply
    44,414x = 94,582 × 94,582
  4. Step 4: Simplify right side
    44,414x = 8,945,754,724
  5. Step 5: Solve for x
    x = 8,945,754,724/44,414
  6. Step 6: Final answer
    x = 201,417.45

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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.