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Finding the Third Proportional to 24,779.25 and 51,981.75

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Solution

The third proportional to 24,779.25 and 51,981.75 is: 109,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779.25 : 51,981.75 = 51,981.75 : x
  2. Step 2: Convert to fraction form
    24,779.25/51,981.75 = 51,981.75/x
  3. Step 3: Cross multiply
    24,779.25x = 51,981.75 × 51,981.75
  4. Step 4: Simplify right side
    24,779.25x = 2,702,102,333.06
  5. Step 5: Solve for x
    x = 2,702,102,333.06/24,779.25
  6. Step 6: Final answer
    x = 109,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.