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Finding the Third Proportional to 27,090 and 58,592.25

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Solution

The third proportional to 27,090 and 58,592.25 is: 126,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090 : 58,592.25 = 58,592.25 : x
  2. Step 2: Convert to fraction form
    27,090/58,592.25 = 58,592.25/x
  3. Step 3: Cross multiply
    27,090x = 58,592.25 × 58,592.25
  4. Step 4: Simplify right side
    27,090x = 3,433,051,760.06
  5. Step 5: Solve for x
    x = 3,433,051,760.06/27,090
  6. Step 6: Final answer
    x = 126,727.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.