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Finding the Third Proportional to 7,687.50 and 18,141

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Solution

The third proportional to 7,687.50 and 18,141 is: 42,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.50 : 18,141 = 18,141 : x
  2. Step 2: Convert to fraction form
    7,687.50/18,141 = 18,141/x
  3. Step 3: Cross multiply
    7,687.50x = 18,141 × 18,141
  4. Step 4: Simplify right side
    7,687.50x = 329,095,881
  5. Step 5: Solve for x
    x = 329,095,881/7,687.50
  6. Step 6: Final answer
    x = 42,809.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.