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Finding the Third Proportional to 48,600 and 79,357.50

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Solution

The third proportional to 48,600 and 79,357.50 is: 129,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 79,357.50 = 79,357.50 : x
  2. Step 2: Convert to fraction form
    48,600/79,357.50 = 79,357.50/x
  3. Step 3: Cross multiply
    48,600x = 79,357.50 × 79,357.50
  4. Step 4: Simplify right side
    48,600x = 6,297,612,806.25
  5. Step 5: Solve for x
    x = 6,297,612,806.25/48,600
  6. Step 6: Final answer
    x = 129,580.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.