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Finding the Third Proportional to 24,768 and 55,060

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Solution

The third proportional to 24,768 and 55,060 is: 122,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768 : 55,060 = 55,060 : x
  2. Step 2: Convert to fraction form
    24,768/55,060 = 55,060/x
  3. Step 3: Cross multiply
    24,768x = 55,060 × 55,060
  4. Step 4: Simplify right side
    24,768x = 3,031,603,600
  5. Step 5: Solve for x
    x = 3,031,603,600/24,768
  6. Step 6: Final answer
    x = 122,400.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.