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Finding the Third Proportional to 31,857.75 and 44,569.13

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Solution

The third proportional to 31,857.75 and 44,569.13 is: 62,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.75 : 44,569.13 = 44,569.13 : x
  2. Step 2: Convert to fraction form
    31,857.75/44,569.13 = 44,569.13/x
  3. Step 3: Cross multiply
    31,857.75x = 44,569.13 × 44,569.13
  4. Step 4: Simplify right side
    31,857.75x = 1,986,406,903.27
  5. Step 5: Solve for x
    x = 1,986,406,903.27/31,857.75
  6. Step 6: Final answer
    x = 62,352.39

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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.