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Finding the Third Proportional to 24,054 and 55,371

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Solution

The third proportional to 24,054 and 55,371 is: 127,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054 : 55,371 = 55,371 : x
  2. Step 2: Convert to fraction form
    24,054/55,371 = 55,371/x
  3. Step 3: Cross multiply
    24,054x = 55,371 × 55,371
  4. Step 4: Simplify right side
    24,054x = 3,065,947,641
  5. Step 5: Solve for x
    x = 3,065,947,641/24,054
  6. Step 6: Final answer
    x = 127,461.03

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.