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Finding the Third Proportional to 27,420 and 41,430

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Solution

The third proportional to 27,420 and 41,430 is: 62,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420 : 41,430 = 41,430 : x
  2. Step 2: Convert to fraction form
    27,420/41,430 = 41,430/x
  3. Step 3: Cross multiply
    27,420x = 41,430 × 41,430
  4. Step 4: Simplify right side
    27,420x = 1,716,444,900
  5. Step 5: Solve for x
    x = 1,716,444,900/27,420
  6. Step 6: Final answer
    x = 62,598.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.