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Finding the Third Proportional to 30,496 and 66,336

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Solution

The third proportional to 30,496 and 66,336 is: 144,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496 : 66,336 = 66,336 : x
  2. Step 2: Convert to fraction form
    30,496/66,336 = 66,336/x
  3. Step 3: Cross multiply
    30,496x = 66,336 × 66,336
  4. Step 4: Simplify right side
    30,496x = 4,400,464,896
  5. Step 5: Solve for x
    x = 4,400,464,896/30,496
  6. Step 6: Final answer
    x = 144,296.46

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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.