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Finding the Third Proportional to 38,889.50 and 60,157

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Solution

The third proportional to 38,889.50 and 60,157 is: 93,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,889.50 : 60,157 = 60,157 : x
  2. Step 2: Convert to fraction form
    38,889.50/60,157 = 60,157/x
  3. Step 3: Cross multiply
    38,889.50x = 60,157 × 60,157
  4. Step 4: Simplify right side
    38,889.50x = 3,618,864,649
  5. Step 5: Solve for x
    x = 3,618,864,649/38,889.50
  6. Step 6: Final answer
    x = 93,055.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.