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Finding the Third Proportional to 23,820 and 52,310

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Solution

The third proportional to 23,820 and 52,310 is: 114,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820 : 52,310 = 52,310 : x
  2. Step 2: Convert to fraction form
    23,820/52,310 = 52,310/x
  3. Step 3: Cross multiply
    23,820x = 52,310 × 52,310
  4. Step 4: Simplify right side
    23,820x = 2,736,336,100
  5. Step 5: Solve for x
    x = 2,736,336,100/23,820
  6. Step 6: Final answer
    x = 114,875.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.