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Finding the Third Proportional to 30,226 and 55,484

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Solution

The third proportional to 30,226 and 55,484 is: 101,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226 : 55,484 = 55,484 : x
  2. Step 2: Convert to fraction form
    30,226/55,484 = 55,484/x
  3. Step 3: Cross multiply
    30,226x = 55,484 × 55,484
  4. Step 4: Simplify right side
    30,226x = 3,078,474,256
  5. Step 5: Solve for x
    x = 3,078,474,256/30,226
  6. Step 6: Final answer
    x = 101,848.55

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.