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Finding the Third Proportional to 26,780 and 58,323

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Solution

The third proportional to 26,780 and 58,323 is: 127,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780 : 58,323 = 58,323 : x
  2. Step 2: Convert to fraction form
    26,780/58,323 = 58,323/x
  3. Step 3: Cross multiply
    26,780x = 58,323 × 58,323
  4. Step 4: Simplify right side
    26,780x = 3,401,572,329
  5. Step 5: Solve for x
    x = 3,401,572,329/26,780
  6. Step 6: Final answer
    x = 127,019.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.