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Finding the Third Proportional to 38,574 and 57,968

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Solution

The third proportional to 38,574 and 57,968 is: 87,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574 : 57,968 = 57,968 : x
  2. Step 2: Convert to fraction form
    38,574/57,968 = 57,968/x
  3. Step 3: Cross multiply
    38,574x = 57,968 × 57,968
  4. Step 4: Simplify right side
    38,574x = 3,360,289,024
  5. Step 5: Solve for x
    x = 3,360,289,024/38,574
  6. Step 6: Final answer
    x = 87,112.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.