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Finding the Third Proportional to 31,826.81 and 70,009.31

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Solution

The third proportional to 31,826.81 and 70,009.31 is: 153,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.81 : 70,009.31 = 70,009.31 : x
  2. Step 2: Convert to fraction form
    31,826.81/70,009.31 = 70,009.31/x
  3. Step 3: Cross multiply
    31,826.81x = 70,009.31 × 70,009.31
  4. Step 4: Simplify right side
    31,826.81x = 4,901,303,836.72
  5. Step 5: Solve for x
    x = 4,901,303,836.72/31,826.81
  6. Step 6: Final answer
    x = 153,999.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.