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Finding the Third Proportional to 26,658 and 57,583.50

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Solution

The third proportional to 26,658 and 57,583.50 is: 124,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 57,583.50 = 57,583.50 : x
  2. Step 2: Convert to fraction form
    26,658/57,583.50 = 57,583.50/x
  3. Step 3: Cross multiply
    26,658x = 57,583.50 × 57,583.50
  4. Step 4: Simplify right side
    26,658x = 3,315,859,472.25
  5. Step 5: Solve for x
    x = 3,315,859,472.25/26,658
  6. Step 6: Final answer
    x = 124,385.16

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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.