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Finding the Third Proportional to 24,302 and 52,820

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Solution

The third proportional to 24,302 and 52,820 is: 114,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 52,820 = 52,820 : x
  2. Step 2: Convert to fraction form
    24,302/52,820 = 52,820/x
  3. Step 3: Cross multiply
    24,302x = 52,820 × 52,820
  4. Step 4: Simplify right side
    24,302x = 2,789,952,400
  5. Step 5: Solve for x
    x = 2,789,952,400/24,302
  6. Step 6: Final answer
    x = 114,803.41

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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.