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Finding the Third Proportional to 31,064 and 66,281

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Solution

The third proportional to 31,064 and 66,281 is: 141,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064 : 66,281 = 66,281 : x
  2. Step 2: Convert to fraction form
    31,064/66,281 = 66,281/x
  3. Step 3: Cross multiply
    31,064x = 66,281 × 66,281
  4. Step 4: Simplify right side
    31,064x = 4,393,170,961
  5. Step 5: Solve for x
    x = 4,393,170,961/31,064
  6. Step 6: Final answer
    x = 141,423.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.