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Finding the Third Proportional to 30,225 and 64,910

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Solution

The third proportional to 30,225 and 64,910 is: 139,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225 : 64,910 = 64,910 : x
  2. Step 2: Convert to fraction form
    30,225/64,910 = 64,910/x
  3. Step 3: Cross multiply
    30,225x = 64,910 × 64,910
  4. Step 4: Simplify right side
    30,225x = 4,213,308,100
  5. Step 5: Solve for x
    x = 4,213,308,100/30,225
  6. Step 6: Final answer
    x = 139,398.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.