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Finding the Third Proportional to 30,240 and 65,348

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Solution

The third proportional to 30,240 and 65,348 is: 141,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 65,348 = 65,348 : x
  2. Step 2: Convert to fraction form
    30,240/65,348 = 65,348/x
  3. Step 3: Cross multiply
    30,240x = 65,348 × 65,348
  4. Step 4: Simplify right side
    30,240x = 4,270,361,104
  5. Step 5: Solve for x
    x = 4,270,361,104/30,240
  6. Step 6: Final answer
    x = 141,215.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.