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Finding the Third Proportional to 31,029 and 66,979.13

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Solution

The third proportional to 31,029 and 66,979.13 is: 144,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029 : 66,979.13 = 66,979.13 : x
  2. Step 2: Convert to fraction form
    31,029/66,979.13 = 66,979.13/x
  3. Step 3: Cross multiply
    31,029x = 66,979.13 × 66,979.13
  4. Step 4: Simplify right side
    31,029x = 4,486,203,185.77
  5. Step 5: Solve for x
    x = 4,486,203,185.77/31,029
  6. Step 6: Final answer
    x = 144,580.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.