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Finding the Third Proportional to 38,907 and 56,980.50

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Solution

The third proportional to 38,907 and 56,980.50 is: 83,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 56,980.50 = 56,980.50 : x
  2. Step 2: Convert to fraction form
    38,907/56,980.50 = 56,980.50/x
  3. Step 3: Cross multiply
    38,907x = 56,980.50 × 56,980.50
  4. Step 4: Simplify right side
    38,907x = 3,246,777,380.25
  5. Step 5: Solve for x
    x = 3,246,777,380.25/38,907
  6. Step 6: Final answer
    x = 83,449.70

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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.