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Finding the Third Proportional to 14,074 and 23,570

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Solution

The third proportional to 14,074 and 23,570 is: 39,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 23,570 = 23,570 : x
  2. Step 2: Convert to fraction form
    14,074/23,570 = 23,570/x
  3. Step 3: Cross multiply
    14,074x = 23,570 × 23,570
  4. Step 4: Simplify right side
    14,074x = 555,544,900
  5. Step 5: Solve for x
    x = 555,544,900/14,074
  6. Step 6: Final answer
    x = 39,473.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.