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Finding the Third Proportional to 10,293 and 13,576.50

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Solution

The third proportional to 10,293 and 13,576.50 is: 17,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293 : 13,576.50 = 13,576.50 : x
  2. Step 2: Convert to fraction form
    10,293/13,576.50 = 13,576.50/x
  3. Step 3: Cross multiply
    10,293x = 13,576.50 × 13,576.50
  4. Step 4: Simplify right side
    10,293x = 184,321,352.25
  5. Step 5: Solve for x
    x = 184,321,352.25/10,293
  6. Step 6: Final answer
    x = 17,907.45

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.