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Finding the Third Proportional to 38,025 and 57,154.50

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Solution

The third proportional to 38,025 and 57,154.50 is: 85,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025 : 57,154.50 = 57,154.50 : x
  2. Step 2: Convert to fraction form
    38,025/57,154.50 = 57,154.50/x
  3. Step 3: Cross multiply
    38,025x = 57,154.50 × 57,154.50
  4. Step 4: Simplify right side
    38,025x = 3,266,636,870.25
  5. Step 5: Solve for x
    x = 3,266,636,870.25/38,025
  6. Step 6: Final answer
    x = 85,907.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.