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Finding the Third Proportional to 10,241 and 22,335

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Solution

The third proportional to 10,241 and 22,335 is: 48,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241 : 22,335 = 22,335 : x
  2. Step 2: Convert to fraction form
    10,241/22,335 = 22,335/x
  3. Step 3: Cross multiply
    10,241x = 22,335 × 22,335
  4. Step 4: Simplify right side
    10,241x = 498,852,225
  5. Step 5: Solve for x
    x = 498,852,225/10,241
  6. Step 6: Final answer
    x = 48,711.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.