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Finding the Third Proportional to 23,461 and 34,570

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Solution

The third proportional to 23,461 and 34,570 is: 50,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461 : 34,570 = 34,570 : x
  2. Step 2: Convert to fraction form
    23,461/34,570 = 34,570/x
  3. Step 3: Cross multiply
    23,461x = 34,570 × 34,570
  4. Step 4: Simplify right side
    23,461x = 1,195,084,900
  5. Step 5: Solve for x
    x = 1,195,084,900/23,461
  6. Step 6: Final answer
    x = 50,939.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.