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Finding the Third Proportional to 30,575 and 63,115

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Solution

The third proportional to 30,575 and 63,115 is: 130,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575 : 63,115 = 63,115 : x
  2. Step 2: Convert to fraction form
    30,575/63,115 = 63,115/x
  3. Step 3: Cross multiply
    30,575x = 63,115 × 63,115
  4. Step 4: Simplify right side
    30,575x = 3,983,503,225
  5. Step 5: Solve for x
    x = 3,983,503,225/30,575
  6. Step 6: Final answer
    x = 130,286.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.