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Finding the Third Proportional to 44,017 and 85,829

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Solution

The third proportional to 44,017 and 85,829 is: 167,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,017 : 85,829 = 85,829 : x
  2. Step 2: Convert to fraction form
    44,017/85,829 = 85,829/x
  3. Step 3: Cross multiply
    44,017x = 85,829 × 85,829
  4. Step 4: Simplify right side
    44,017x = 7,366,617,241
  5. Step 5: Solve for x
    x = 7,366,617,241/44,017
  6. Step 6: Final answer
    x = 167,358.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.