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Finding the Third Proportional to 47,953.25 and 72,596.50

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Solution

The third proportional to 47,953.25 and 72,596.50 is: 109,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953.25 : 72,596.50 = 72,596.50 : x
  2. Step 2: Convert to fraction form
    47,953.25/72,596.50 = 72,596.50/x
  3. Step 3: Cross multiply
    47,953.25x = 72,596.50 × 72,596.50
  4. Step 4: Simplify right side
    47,953.25x = 5,270,251,812.25
  5. Step 5: Solve for x
    x = 5,270,251,812.25/47,953.25
  6. Step 6: Final answer
    x = 109,903.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.