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Finding the Third Proportional to 13,458.50 and 19,265

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Solution

The third proportional to 13,458.50 and 19,265 is: 27,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.50 : 19,265 = 19,265 : x
  2. Step 2: Convert to fraction form
    13,458.50/19,265 = 19,265/x
  3. Step 3: Cross multiply
    13,458.50x = 19,265 × 19,265
  4. Step 4: Simplify right side
    13,458.50x = 371,140,225
  5. Step 5: Solve for x
    x = 371,140,225/13,458.50
  6. Step 6: Final answer
    x = 27,576.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.