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Finding the Third Proportional to 17,172 and 27,140.91

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Solution

The third proportional to 17,172 and 27,140.91 is: 42,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172 : 27,140.91 = 27,140.91 : x
  2. Step 2: Convert to fraction form
    17,172/27,140.91 = 27,140.91/x
  3. Step 3: Cross multiply
    17,172x = 27,140.91 × 27,140.91
  4. Step 4: Simplify right side
    17,172x = 736,628,792.07
  5. Step 5: Solve for x
    x = 736,628,792.07/17,172
  6. Step 6: Final answer
    x = 42,897.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.