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Finding the Third Proportional to 46,723.50 and 72,468

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Solution

The third proportional to 46,723.50 and 72,468 is: 112,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,723.50 : 72,468 = 72,468 : x
  2. Step 2: Convert to fraction form
    46,723.50/72,468 = 72,468/x
  3. Step 3: Cross multiply
    46,723.50x = 72,468 × 72,468
  4. Step 4: Simplify right side
    46,723.50x = 5,251,611,024
  5. Step 5: Solve for x
    x = 5,251,611,024/46,723.50
  6. Step 6: Final answer
    x = 112,397.64

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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.