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Finding the Third Proportional to 17,534 and 36,772

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Solution

The third proportional to 17,534 and 36,772 is: 77,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534 : 36,772 = 36,772 : x
  2. Step 2: Convert to fraction form
    17,534/36,772 = 36,772/x
  3. Step 3: Cross multiply
    17,534x = 36,772 × 36,772
  4. Step 4: Simplify right side
    17,534x = 1,352,179,984
  5. Step 5: Solve for x
    x = 1,352,179,984/17,534
  6. Step 6: Final answer
    x = 77,117.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.