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Finding the Third Proportional to 39,568 and 58,056

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Solution

The third proportional to 39,568 and 58,056 is: 85,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,568 : 58,056 = 58,056 : x
  2. Step 2: Convert to fraction form
    39,568/58,056 = 58,056/x
  3. Step 3: Cross multiply
    39,568x = 58,056 × 58,056
  4. Step 4: Simplify right side
    39,568x = 3,370,499,136
  5. Step 5: Solve for x
    x = 3,370,499,136/39,568
  6. Step 6: Final answer
    x = 85,182.45

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Why These Related Problems?

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