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Finding the Third Proportional to 28,044 and 61,922

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Solution

The third proportional to 28,044 and 61,922 is: 136,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,044 : 61,922 = 61,922 : x
  2. Step 2: Convert to fraction form
    28,044/61,922 = 61,922/x
  3. Step 3: Cross multiply
    28,044x = 61,922 × 61,922
  4. Step 4: Simplify right side
    28,044x = 3,834,334,084
  5. Step 5: Solve for x
    x = 3,834,334,084/28,044
  6. Step 6: Final answer
    x = 136,725.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.