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Finding the Third Proportional to 31,062.23 and 66,276.35

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Solution

The third proportional to 31,062.23 and 66,276.35 is: 141,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.23 : 66,276.35 = 66,276.35 : x
  2. Step 2: Convert to fraction form
    31,062.23/66,276.35 = 66,276.35/x
  3. Step 3: Cross multiply
    31,062.23x = 66,276.35 × 66,276.35
  4. Step 4: Simplify right side
    31,062.23x = 4,392,554,776.44
  5. Step 5: Solve for x
    x = 4,392,554,776.44/31,062.23
  6. Step 6: Final answer
    x = 141,411.42

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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.