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Finding the Third Proportional to 44,537 and 69,020

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Solution

The third proportional to 44,537 and 69,020 is: 106,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,537 : 69,020 = 69,020 : x
  2. Step 2: Convert to fraction form
    44,537/69,020 = 69,020/x
  3. Step 3: Cross multiply
    44,537x = 69,020 × 69,020
  4. Step 4: Simplify right side
    44,537x = 4,763,760,400
  5. Step 5: Solve for x
    x = 4,763,760,400/44,537
  6. Step 6: Final answer
    x = 106,961.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.