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Finding the Third Proportional to 12,778 and 28,015

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Solution

The third proportional to 12,778 and 28,015 is: 61,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778 : 28,015 = 28,015 : x
  2. Step 2: Convert to fraction form
    12,778/28,015 = 28,015/x
  3. Step 3: Cross multiply
    12,778x = 28,015 × 28,015
  4. Step 4: Simplify right side
    12,778x = 784,840,225
  5. Step 5: Solve for x
    x = 784,840,225/12,778
  6. Step 6: Final answer
    x = 61,421.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.