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Finding the Third Proportional to 10,192 and 21,308

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Solution

The third proportional to 10,192 and 21,308 is: 44,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 21,308 = 21,308 : x
  2. Step 2: Convert to fraction form
    10,192/21,308 = 21,308/x
  3. Step 3: Cross multiply
    10,192x = 21,308 × 21,308
  4. Step 4: Simplify right side
    10,192x = 454,030,864
  5. Step 5: Solve for x
    x = 454,030,864/10,192
  6. Step 6: Final answer
    x = 44,547.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.