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Finding the Third Proportional to 44,128 and 66,594

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Solution

The third proportional to 44,128 and 66,594 is: 100,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 66,594 = 66,594 : x
  2. Step 2: Convert to fraction form
    44,128/66,594 = 66,594/x
  3. Step 3: Cross multiply
    44,128x = 66,594 × 66,594
  4. Step 4: Simplify right side
    44,128x = 4,434,760,836
  5. Step 5: Solve for x
    x = 4,434,760,836/44,128
  6. Step 6: Final answer
    x = 100,497.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.