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Finding the Third Proportional to 28,438 and 66,435

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Solution

The third proportional to 28,438 and 66,435 is: 155,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,438 : 66,435 = 66,435 : x
  2. Step 2: Convert to fraction form
    28,438/66,435 = 66,435/x
  3. Step 3: Cross multiply
    28,438x = 66,435 × 66,435
  4. Step 4: Simplify right side
    28,438x = 4,413,609,225
  5. Step 5: Solve for x
    x = 4,413,609,225/28,438
  6. Step 6: Final answer
    x = 155,201.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.