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Finding the Third Proportional to 10,908 and 22,303

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Solution

The third proportional to 10,908 and 22,303 is: 45,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 22,303 = 22,303 : x
  2. Step 2: Convert to fraction form
    10,908/22,303 = 22,303/x
  3. Step 3: Cross multiply
    10,908x = 22,303 × 22,303
  4. Step 4: Simplify right side
    10,908x = 497,423,809
  5. Step 5: Solve for x
    x = 497,423,809/10,908
  6. Step 6: Final answer
    x = 45,601.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.