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Finding the Third Proportional to 17,230.25 and 37,537

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Solution

The third proportional to 17,230.25 and 37,537 is: 81,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.25 : 37,537 = 37,537 : x
  2. Step 2: Convert to fraction form
    17,230.25/37,537 = 37,537/x
  3. Step 3: Cross multiply
    17,230.25x = 37,537 × 37,537
  4. Step 4: Simplify right side
    17,230.25x = 1,409,026,369
  5. Step 5: Solve for x
    x = 1,409,026,369/17,230.25
  6. Step 6: Final answer
    x = 81,776.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.