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Finding the Third Proportional to 30,396 and 65,332

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Solution

The third proportional to 30,396 and 65,332 is: 140,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396 : 65,332 = 65,332 : x
  2. Step 2: Convert to fraction form
    30,396/65,332 = 65,332/x
  3. Step 3: Cross multiply
    30,396x = 65,332 × 65,332
  4. Step 4: Simplify right side
    30,396x = 4,268,270,224
  5. Step 5: Solve for x
    x = 4,268,270,224/30,396
  6. Step 6: Final answer
    x = 140,422.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.