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Finding the Third Proportional to 35,641.27 and 49,828.92

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Solution

The third proportional to 35,641.27 and 49,828.92 is: 69,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.27 : 49,828.92 = 49,828.92 : x
  2. Step 2: Convert to fraction form
    35,641.27/49,828.92 = 49,828.92/x
  3. Step 3: Cross multiply
    35,641.27x = 49,828.92 × 49,828.92
  4. Step 4: Simplify right side
    35,641.27x = 2,482,921,455.22
  5. Step 5: Solve for x
    x = 2,482,921,455.22/35,641.27
  6. Step 6: Final answer
    x = 69,664.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.