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Finding the Third Proportional to 46,620 and 72,319.50

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Solution

The third proportional to 46,620 and 72,319.50 is: 112,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,620 : 72,319.50 = 72,319.50 : x
  2. Step 2: Convert to fraction form
    46,620/72,319.50 = 72,319.50/x
  3. Step 3: Cross multiply
    46,620x = 72,319.50 × 72,319.50
  4. Step 4: Simplify right side
    46,620x = 5,230,110,080.25
  5. Step 5: Solve for x
    x = 5,230,110,080.25/46,620
  6. Step 6: Final answer
    x = 112,185.97

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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.