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Finding the Third Proportional to 31,881.09 and 69,804.28

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Solution

The third proportional to 31,881.09 and 69,804.28 is: 152,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.09 : 69,804.28 = 69,804.28 : x
  2. Step 2: Convert to fraction form
    31,881.09/69,804.28 = 69,804.28/x
  3. Step 3: Cross multiply
    31,881.09x = 69,804.28 × 69,804.28
  4. Step 4: Simplify right side
    31,881.09x = 4,872,637,680.83
  5. Step 5: Solve for x
    x = 4,872,637,680.83/31,881.09
  6. Step 6: Final answer
    x = 152,837.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.