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Finding the Third Proportional to 28,682 and 63,022

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Solution

The third proportional to 28,682 and 63,022 is: 138,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,682 : 63,022 = 63,022 : x
  2. Step 2: Convert to fraction form
    28,682/63,022 = 63,022/x
  3. Step 3: Cross multiply
    28,682x = 63,022 × 63,022
  4. Step 4: Simplify right side
    28,682x = 3,971,772,484
  5. Step 5: Solve for x
    x = 3,971,772,484/28,682
  6. Step 6: Final answer
    x = 138,476.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.