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Finding the Third Proportional to 24,275 and 52,702

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Solution

The third proportional to 24,275 and 52,702 is: 114,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275 : 52,702 = 52,702 : x
  2. Step 2: Convert to fraction form
    24,275/52,702 = 52,702/x
  3. Step 3: Cross multiply
    24,275x = 52,702 × 52,702
  4. Step 4: Simplify right side
    24,275x = 2,777,500,804
  5. Step 5: Solve for x
    x = 2,777,500,804/24,275
  6. Step 6: Final answer
    x = 114,418.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.