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Finding the Third Proportional to 40,056 and 58,017

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Solution

The third proportional to 40,056 and 58,017 is: 84,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,056 : 58,017 = 58,017 : x
  2. Step 2: Convert to fraction form
    40,056/58,017 = 58,017/x
  3. Step 3: Cross multiply
    40,056x = 58,017 × 58,017
  4. Step 4: Simplify right side
    40,056x = 3,365,972,289
  5. Step 5: Solve for x
    x = 3,365,972,289/40,056
  6. Step 6: Final answer
    x = 84,031.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.