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Finding the Third Proportional to 47,025 and 72,973.50

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Solution

The third proportional to 47,025 and 72,973.50 is: 113,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,025 : 72,973.50 = 72,973.50 : x
  2. Step 2: Convert to fraction form
    47,025/72,973.50 = 72,973.50/x
  3. Step 3: Cross multiply
    47,025x = 72,973.50 × 72,973.50
  4. Step 4: Simplify right side
    47,025x = 5,325,131,702.25
  5. Step 5: Solve for x
    x = 5,325,131,702.25/47,025
  6. Step 6: Final answer
    x = 113,240.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.