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Finding the Third Proportional to 28,154 and 61,348

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Solution

The third proportional to 28,154 and 61,348 is: 133,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,154 : 61,348 = 61,348 : x
  2. Step 2: Convert to fraction form
    28,154/61,348 = 61,348/x
  3. Step 3: Cross multiply
    28,154x = 61,348 × 61,348
  4. Step 4: Simplify right side
    28,154x = 3,763,577,104
  5. Step 5: Solve for x
    x = 3,763,577,104/28,154
  6. Step 6: Final answer
    x = 133,678.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.