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Finding the Third Proportional to 26,918 and 57,516

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Solution

The third proportional to 26,918 and 57,516 is: 122,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,918 : 57,516 = 57,516 : x
  2. Step 2: Convert to fraction form
    26,918/57,516 = 57,516/x
  3. Step 3: Cross multiply
    26,918x = 57,516 × 57,516
  4. Step 4: Simplify right side
    26,918x = 3,308,090,256
  5. Step 5: Solve for x
    x = 3,308,090,256/26,918
  6. Step 6: Final answer
    x = 122,895.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.