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Finding the Third Proportional to 17,300 and 37,952

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Solution

The third proportional to 17,300 and 37,952 is: 83,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 37,952 = 37,952 : x
  2. Step 2: Convert to fraction form
    17,300/37,952 = 37,952/x
  3. Step 3: Cross multiply
    17,300x = 37,952 × 37,952
  4. Step 4: Simplify right side
    17,300x = 1,440,354,304
  5. Step 5: Solve for x
    x = 1,440,354,304/17,300
  6. Step 6: Final answer
    x = 83,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.