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Finding the Third Proportional to 28,713 and 63,069

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Solution

The third proportional to 28,713 and 63,069 is: 138,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,713 : 63,069 = 63,069 : x
  2. Step 2: Convert to fraction form
    28,713/63,069 = 63,069/x
  3. Step 3: Cross multiply
    28,713x = 63,069 × 63,069
  4. Step 4: Simplify right side
    28,713x = 3,977,698,761
  5. Step 5: Solve for x
    x = 3,977,698,761/28,713
  6. Step 6: Final answer
    x = 138,533.03

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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.