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Finding the Third Proportional to 26,827.13 and 58,284

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Solution

The third proportional to 26,827.13 and 58,284 is: 126,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827.13 : 58,284 = 58,284 : x
  2. Step 2: Convert to fraction form
    26,827.13/58,284 = 58,284/x
  3. Step 3: Cross multiply
    26,827.13x = 58,284 × 58,284
  4. Step 4: Simplify right side
    26,827.13x = 3,397,024,656
  5. Step 5: Solve for x
    x = 3,397,024,656/26,827.13
  6. Step 6: Final answer
    x = 126,626.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.