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Finding the Third Proportional to 30,084.50 and 46,772

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Solution

The third proportional to 30,084.50 and 46,772 is: 72,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.50 : 46,772 = 46,772 : x
  2. Step 2: Convert to fraction form
    30,084.50/46,772 = 46,772/x
  3. Step 3: Cross multiply
    30,084.50x = 46,772 × 46,772
  4. Step 4: Simplify right side
    30,084.50x = 2,187,619,984
  5. Step 5: Solve for x
    x = 2,187,619,984/30,084.50
  6. Step 6: Final answer
    x = 72,715.85

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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.