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Finding the Third Proportional to 16,534 and 23,570

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Solution

The third proportional to 16,534 and 23,570 is: 33,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534 : 23,570 = 23,570 : x
  2. Step 2: Convert to fraction form
    16,534/23,570 = 23,570/x
  3. Step 3: Cross multiply
    16,534x = 23,570 × 23,570
  4. Step 4: Simplify right side
    16,534x = 555,544,900
  5. Step 5: Solve for x
    x = 555,544,900/16,534
  6. Step 6: Final answer
    x = 33,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.