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Finding the Third Proportional to 14,103 and 30,332

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Solution

The third proportional to 14,103 and 30,332 is: 65,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 30,332 = 30,332 : x
  2. Step 2: Convert to fraction form
    14,103/30,332 = 30,332/x
  3. Step 3: Cross multiply
    14,103x = 30,332 × 30,332
  4. Step 4: Simplify right side
    14,103x = 920,030,224
  5. Step 5: Solve for x
    x = 920,030,224/14,103
  6. Step 6: Final answer
    x = 65,236.49

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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.