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Finding the Third Proportional to 38,662.50 and 56,353.50

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Solution

The third proportional to 38,662.50 and 56,353.50 is: 82,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.50 : 56,353.50 = 56,353.50 : x
  2. Step 2: Convert to fraction form
    38,662.50/56,353.50 = 56,353.50/x
  3. Step 3: Cross multiply
    38,662.50x = 56,353.50 × 56,353.50
  4. Step 4: Simplify right side
    38,662.50x = 3,175,716,962.25
  5. Step 5: Solve for x
    x = 3,175,716,962.25/38,662.50
  6. Step 6: Final answer
    x = 82,139.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.