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Finding the Third Proportional to 30,534 and 65,674

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Solution

The third proportional to 30,534 and 65,674 is: 141,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534 : 65,674 = 65,674 : x
  2. Step 2: Convert to fraction form
    30,534/65,674 = 65,674/x
  3. Step 3: Cross multiply
    30,534x = 65,674 × 65,674
  4. Step 4: Simplify right side
    30,534x = 4,313,074,276
  5. Step 5: Solve for x
    x = 4,313,074,276/30,534
  6. Step 6: Final answer
    x = 141,254.81

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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.