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Finding the Third Proportional to 13,090 and 26,588

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Solution

The third proportional to 13,090 and 26,588 is: 54,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090 : 26,588 = 26,588 : x
  2. Step 2: Convert to fraction form
    13,090/26,588 = 26,588/x
  3. Step 3: Cross multiply
    13,090x = 26,588 × 26,588
  4. Step 4: Simplify right side
    13,090x = 706,921,744
  5. Step 5: Solve for x
    x = 706,921,744/13,090
  6. Step 6: Final answer
    x = 54,004.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.