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Finding the Third Proportional to 38,276.50 and 54,437.50

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Solution

The third proportional to 38,276.50 and 54,437.50 is: 77,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276.50 : 54,437.50 = 54,437.50 : x
  2. Step 2: Convert to fraction form
    38,276.50/54,437.50 = 54,437.50/x
  3. Step 3: Cross multiply
    38,276.50x = 54,437.50 × 54,437.50
  4. Step 4: Simplify right side
    38,276.50x = 2,963,441,406.25
  5. Step 5: Solve for x
    x = 2,963,441,406.25/38,276.50
  6. Step 6: Final answer
    x = 77,421.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.