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Finding the Third Proportional to 19,644 and 46,332

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Solution

The third proportional to 19,644 and 46,332 is: 109,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644 : 46,332 = 46,332 : x
  2. Step 2: Convert to fraction form
    19,644/46,332 = 46,332/x
  3. Step 3: Cross multiply
    19,644x = 46,332 × 46,332
  4. Step 4: Simplify right side
    19,644x = 2,146,654,224
  5. Step 5: Solve for x
    x = 2,146,654,224/19,644
  6. Step 6: Final answer
    x = 109,277.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.