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Finding the Third Proportional to 34,413 and 45,351

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Solution

The third proportional to 34,413 and 45,351 is: 59,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413 : 45,351 = 45,351 : x
  2. Step 2: Convert to fraction form
    34,413/45,351 = 45,351/x
  3. Step 3: Cross multiply
    34,413x = 45,351 × 45,351
  4. Step 4: Simplify right side
    34,413x = 2,056,713,201
  5. Step 5: Solve for x
    x = 2,056,713,201/34,413
  6. Step 6: Final answer
    x = 59,765.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.