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Finding the Third Proportional to 24,140 and 51,704

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Solution

The third proportional to 24,140 and 51,704 is: 110,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140 : 51,704 = 51,704 : x
  2. Step 2: Convert to fraction form
    24,140/51,704 = 51,704/x
  3. Step 3: Cross multiply
    24,140x = 51,704 × 51,704
  4. Step 4: Simplify right side
    24,140x = 2,673,303,616
  5. Step 5: Solve for x
    x = 2,673,303,616/24,140
  6. Step 6: Final answer
    x = 110,741.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.