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Finding the Third Proportional to 26,340 and 55,776

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Solution

The third proportional to 26,340 and 55,776 is: 118,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340 : 55,776 = 55,776 : x
  2. Step 2: Convert to fraction form
    26,340/55,776 = 55,776/x
  3. Step 3: Cross multiply
    26,340x = 55,776 × 55,776
  4. Step 4: Simplify right side
    26,340x = 3,110,962,176
  5. Step 5: Solve for x
    x = 3,110,962,176/26,340
  6. Step 6: Final answer
    x = 118,107.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.