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Finding the Third Proportional to 31,074 and 66,420

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Solution

The third proportional to 31,074 and 66,420 is: 141,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074 : 66,420 = 66,420 : x
  2. Step 2: Convert to fraction form
    31,074/66,420 = 66,420/x
  3. Step 3: Cross multiply
    31,074x = 66,420 × 66,420
  4. Step 4: Simplify right side
    31,074x = 4,411,616,400
  5. Step 5: Solve for x
    x = 4,411,616,400/31,074
  6. Step 6: Final answer
    x = 141,971.31

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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.