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Finding the Third Proportional to 26,394 and 58,689.75

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Solution

The third proportional to 26,394 and 58,689.75 is: 130,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,394 : 58,689.75 = 58,689.75 : x
  2. Step 2: Convert to fraction form
    26,394/58,689.75 = 58,689.75/x
  3. Step 3: Cross multiply
    26,394x = 58,689.75 × 58,689.75
  4. Step 4: Simplify right side
    26,394x = 3,444,486,755.06
  5. Step 5: Solve for x
    x = 3,444,486,755.06/26,394
  6. Step 6: Final answer
    x = 130,502.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.