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Finding the Third Proportional to 26,757 and 58,590

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Solution

The third proportional to 26,757 and 58,590 is: 128,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,757 : 58,590 = 58,590 : x
  2. Step 2: Convert to fraction form
    26,757/58,590 = 58,590/x
  3. Step 3: Cross multiply
    26,757x = 58,590 × 58,590
  4. Step 4: Simplify right side
    26,757x = 3,432,788,100
  5. Step 5: Solve for x
    x = 3,432,788,100/26,757
  6. Step 6: Final answer
    x = 128,294.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.