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Finding the Third Proportional to 23,020 and 34,710

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Solution

The third proportional to 23,020 and 34,710 is: 52,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020 : 34,710 = 34,710 : x
  2. Step 2: Convert to fraction form
    23,020/34,710 = 34,710/x
  3. Step 3: Cross multiply
    23,020x = 34,710 × 34,710
  4. Step 4: Simplify right side
    23,020x = 1,204,784,100
  5. Step 5: Solve for x
    x = 1,204,784,100/23,020
  6. Step 6: Final answer
    x = 52,336.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.