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Finding the Third Proportional to 17,261.07 and 29,140.07

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Solution

The third proportional to 17,261.07 and 29,140.07 is: 49,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261.07 : 29,140.07 = 29,140.07 : x
  2. Step 2: Convert to fraction form
    17,261.07/29,140.07 = 29,140.07/x
  3. Step 3: Cross multiply
    17,261.07x = 29,140.07 × 29,140.07
  4. Step 4: Simplify right side
    17,261.07x = 849,143,470.16
  5. Step 5: Solve for x
    x = 849,143,470.16/17,261.07
  6. Step 6: Final answer
    x = 49,194.14

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.