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Finding the Third Proportional to 28,862 and 63,017

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Solution

The third proportional to 28,862 and 63,017 is: 137,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,862 : 63,017 = 63,017 : x
  2. Step 2: Convert to fraction form
    28,862/63,017 = 63,017/x
  3. Step 3: Cross multiply
    28,862x = 63,017 × 63,017
  4. Step 4: Simplify right side
    28,862x = 3,971,142,289
  5. Step 5: Solve for x
    x = 3,971,142,289/28,862
  6. Step 6: Final answer
    x = 137,590.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.