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Finding the Third Proportional to 48,358.50 and 71,615.25

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Solution

The third proportional to 48,358.50 and 71,615.25 is: 106,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,358.50 : 71,615.25 = 71,615.25 : x
  2. Step 2: Convert to fraction form
    48,358.50/71,615.25 = 71,615.25/x
  3. Step 3: Cross multiply
    48,358.50x = 71,615.25 × 71,615.25
  4. Step 4: Simplify right side
    48,358.50x = 5,128,744,032.56
  5. Step 5: Solve for x
    x = 5,128,744,032.56/48,358.50
  6. Step 6: Final answer
    x = 106,056.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.