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Finding the Third Proportional to 42,406 and 62,310

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Solution

The third proportional to 42,406 and 62,310 is: 91,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406 : 62,310 = 62,310 : x
  2. Step 2: Convert to fraction form
    42,406/62,310 = 62,310/x
  3. Step 3: Cross multiply
    42,406x = 62,310 × 62,310
  4. Step 4: Simplify right side
    42,406x = 3,882,536,100
  5. Step 5: Solve for x
    x = 3,882,536,100/42,406
  6. Step 6: Final answer
    x = 91,556.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.