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Finding the Third Proportional to 13,953 and 30,210

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Solution

The third proportional to 13,953 and 30,210 is: 65,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953 : 30,210 = 30,210 : x
  2. Step 2: Convert to fraction form
    13,953/30,210 = 30,210/x
  3. Step 3: Cross multiply
    13,953x = 30,210 × 30,210
  4. Step 4: Simplify right side
    13,953x = 912,644,100
  5. Step 5: Solve for x
    x = 912,644,100/13,953
  6. Step 6: Final answer
    x = 65,408.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.