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Finding the Third Proportional to 20,016 and 46,332

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Solution

The third proportional to 20,016 and 46,332 is: 107,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 46,332 = 46,332 : x
  2. Step 2: Convert to fraction form
    20,016/46,332 = 46,332/x
  3. Step 3: Cross multiply
    20,016x = 46,332 × 46,332
  4. Step 4: Simplify right side
    20,016x = 2,146,654,224
  5. Step 5: Solve for x
    x = 2,146,654,224/20,016
  6. Step 6: Final answer
    x = 107,246.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.