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Finding the Third Proportional to 46,387.50 and 72,006

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Solution

The third proportional to 46,387.50 and 72,006 is: 111,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,387.50 : 72,006 = 72,006 : x
  2. Step 2: Convert to fraction form
    46,387.50/72,006 = 72,006/x
  3. Step 3: Cross multiply
    46,387.50x = 72,006 × 72,006
  4. Step 4: Simplify right side
    46,387.50x = 5,184,864,036
  5. Step 5: Solve for x
    x = 5,184,864,036/46,387.50
  6. Step 6: Final answer
    x = 111,772.87

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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.