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Finding the Third Proportional to 27,377 and 40,090

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Solution

The third proportional to 27,377 and 40,090 is: 58,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377 : 40,090 = 40,090 : x
  2. Step 2: Convert to fraction form
    27,377/40,090 = 40,090/x
  3. Step 3: Cross multiply
    27,377x = 40,090 × 40,090
  4. Step 4: Simplify right side
    27,377x = 1,607,208,100
  5. Step 5: Solve for x
    x = 1,607,208,100/27,377
  6. Step 6: Final answer
    x = 58,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.