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Finding the Third Proportional to 46,002.94 and 72,011.53

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Solution

The third proportional to 46,002.94 and 72,011.53 is: 112,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,002.94 : 72,011.53 = 72,011.53 : x
  2. Step 2: Convert to fraction form
    46,002.94/72,011.53 = 72,011.53/x
  3. Step 3: Cross multiply
    46,002.94x = 72,011.53 × 72,011.53
  4. Step 4: Simplify right side
    46,002.94x = 5,185,660,632.97
  5. Step 5: Solve for x
    x = 5,185,660,632.97/46,002.94
  6. Step 6: Final answer
    x = 112,724.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.