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Finding the Third Proportional to 24,053 and 51,658

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Solution

The third proportional to 24,053 and 51,658 is: 110,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053 : 51,658 = 51,658 : x
  2. Step 2: Convert to fraction form
    24,053/51,658 = 51,658/x
  3. Step 3: Cross multiply
    24,053x = 51,658 × 51,658
  4. Step 4: Simplify right side
    24,053x = 2,668,548,964
  5. Step 5: Solve for x
    x = 2,668,548,964/24,053
  6. Step 6: Final answer
    x = 110,944.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.