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Finding the Third Proportional to 28,414 and 62,368

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Solution

The third proportional to 28,414 and 62,368 is: 136,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414 : 62,368 = 62,368 : x
  2. Step 2: Convert to fraction form
    28,414/62,368 = 62,368/x
  3. Step 3: Cross multiply
    28,414x = 62,368 × 62,368
  4. Step 4: Simplify right side
    28,414x = 3,889,767,424
  5. Step 5: Solve for x
    x = 3,889,767,424/28,414
  6. Step 6: Final answer
    x = 136,896.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.