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Finding the Third Proportional to 24,730 and 54,989

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Solution

The third proportional to 24,730 and 54,989 is: 122,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730 : 54,989 = 54,989 : x
  2. Step 2: Convert to fraction form
    24,730/54,989 = 54,989/x
  3. Step 3: Cross multiply
    24,730x = 54,989 × 54,989
  4. Step 4: Simplify right side
    24,730x = 3,023,790,121
  5. Step 5: Solve for x
    x = 3,023,790,121/24,730
  6. Step 6: Final answer
    x = 122,272.14

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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.