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Finding the Third Proportional to 24,159 and 51,030

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Solution

The third proportional to 24,159 and 51,030 is: 107,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159 : 51,030 = 51,030 : x
  2. Step 2: Convert to fraction form
    24,159/51,030 = 51,030/x
  3. Step 3: Cross multiply
    24,159x = 51,030 × 51,030
  4. Step 4: Simplify right side
    24,159x = 2,604,060,900
  5. Step 5: Solve for x
    x = 2,604,060,900/24,159
  6. Step 6: Final answer
    x = 107,788.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.