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Finding the Third Proportional to 46,215 and 73,468.50

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Solution

The third proportional to 46,215 and 73,468.50 is: 116,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 73,468.50 = 73,468.50 : x
  2. Step 2: Convert to fraction form
    46,215/73,468.50 = 73,468.50/x
  3. Step 3: Cross multiply
    46,215x = 73,468.50 × 73,468.50
  4. Step 4: Simplify right side
    46,215x = 5,397,620,492.25
  5. Step 5: Solve for x
    x = 5,397,620,492.25/46,215
  6. Step 6: Final answer
    x = 116,793.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.