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Finding the Third Proportional to 44,480 and 95,966

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Solution

The third proportional to 44,480 and 95,966 is: 207,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,480 : 95,966 = 95,966 : x
  2. Step 2: Convert to fraction form
    44,480/95,966 = 95,966/x
  3. Step 3: Cross multiply
    44,480x = 95,966 × 95,966
  4. Step 4: Simplify right side
    44,480x = 9,209,473,156
  5. Step 5: Solve for x
    x = 9,209,473,156/44,480
  6. Step 6: Final answer
    x = 207,047.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.