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Finding the Third Proportional to 10,184 and 21,292

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Solution

The third proportional to 10,184 and 21,292 is: 44,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184 : 21,292 = 21,292 : x
  2. Step 2: Convert to fraction form
    10,184/21,292 = 21,292/x
  3. Step 3: Cross multiply
    10,184x = 21,292 × 21,292
  4. Step 4: Simplify right side
    10,184x = 453,349,264
  5. Step 5: Solve for x
    x = 453,349,264/10,184
  6. Step 6: Final answer
    x = 44,515.84

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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.