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Finding the Third Proportional to 38,974.50 and 60,743.25

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Solution

The third proportional to 38,974.50 and 60,743.25 is: 94,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 60,743.25 = 60,743.25 : x
  2. Step 2: Convert to fraction form
    38,974.50/60,743.25 = 60,743.25/x
  3. Step 3: Cross multiply
    38,974.50x = 60,743.25 × 60,743.25
  4. Step 4: Simplify right side
    38,974.50x = 3,689,742,420.56
  5. Step 5: Solve for x
    x = 3,689,742,420.56/38,974.50
  6. Step 6: Final answer
    x = 94,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.