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Finding the Third Proportional to 10,787.50 and 23,075

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Solution

The third proportional to 10,787.50 and 23,075 is: 49,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.50 : 23,075 = 23,075 : x
  2. Step 2: Convert to fraction form
    10,787.50/23,075 = 23,075/x
  3. Step 3: Cross multiply
    10,787.50x = 23,075 × 23,075
  4. Step 4: Simplify right side
    10,787.50x = 532,455,625
  5. Step 5: Solve for x
    x = 532,455,625/10,787.50
  6. Step 6: Final answer
    x = 49,358.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.