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Finding the Third Proportional to 31,024 and 64,670

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Solution

The third proportional to 31,024 and 64,670 is: 134,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024 : 64,670 = 64,670 : x
  2. Step 2: Convert to fraction form
    31,024/64,670 = 64,670/x
  3. Step 3: Cross multiply
    31,024x = 64,670 × 64,670
  4. Step 4: Simplify right side
    31,024x = 4,182,208,900
  5. Step 5: Solve for x
    x = 4,182,208,900/31,024
  6. Step 6: Final answer
    x = 134,805.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.