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Finding the Third Proportional to 38,844 and 56,989.50

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Solution

The third proportional to 38,844 and 56,989.50 is: 83,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,844 : 56,989.50 = 56,989.50 : x
  2. Step 2: Convert to fraction form
    38,844/56,989.50 = 56,989.50/x
  3. Step 3: Cross multiply
    38,844x = 56,989.50 × 56,989.50
  4. Step 4: Simplify right side
    38,844x = 3,247,803,110.25
  5. Step 5: Solve for x
    x = 3,247,803,110.25/38,844
  6. Step 6: Final answer
    x = 83,611.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.