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Finding the Third Proportional to 31,888.97 and 69,825.94

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Solution

The third proportional to 31,888.97 and 69,825.94 is: 152,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.97 : 69,825.94 = 69,825.94 : x
  2. Step 2: Convert to fraction form
    31,888.97/69,825.94 = 69,825.94/x
  3. Step 3: Cross multiply
    31,888.97x = 69,825.94 × 69,825.94
  4. Step 4: Simplify right side
    31,888.97x = 4,875,661,547.75
  5. Step 5: Solve for x
    x = 4,875,661,547.75/31,888.97
  6. Step 6: Final answer
    x = 152,894.93

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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.