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Finding the Third Proportional to 30,546 and 64,368

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Solution

The third proportional to 30,546 and 64,368 is: 135,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 64,368 = 64,368 : x
  2. Step 2: Convert to fraction form
    30,546/64,368 = 64,368/x
  3. Step 3: Cross multiply
    30,546x = 64,368 × 64,368
  4. Step 4: Simplify right side
    30,546x = 4,143,239,424
  5. Step 5: Solve for x
    x = 4,143,239,424/30,546
  6. Step 6: Final answer
    x = 135,639.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.